Lscott

You might want to consider up-sizing the coax to LMR-600 for that long length.

For less than $350 you can get a Motorola XTL5000 UHF Dashmount radio with 1,000 channels, programming cable, windows CPS software, microphone, and speaker which is a lot better radio in more ways then one as compared to a Hytera.
Also, I wouldn't pass on a comparable model Kenwood.

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You can plug the numbers into this on-line range calculator. It's just a "ruff" estimate and the real range maybe a bit more or less depending on the local terrain. At least you'll get an idea what to expect.
http://www.hamuniverse.com/lineofsightcalculator.html

I'm basically a Kenwood guy. I collect mostly HT's. I get most of my radios off of eBay. One has to be a real bargain hunter to avoid over paying. I'm on the look out for a super good deal on some NX-1200DVK2 radios. I want to pay significantly under $200 per unit. Last radio I got was an almost new NX-1300DUK5 with battery pack and antenna for $175. The seller was asking originally $280.
https://forums.mygmrs.com/gallery/image/290-nx-1300duk5/?context=new
All thought not Part 95 certified the 400 to 470 band split make nice radios for the Ham 70cm band and will work on GMRS using FM wide band only.
My main GMRS HT is the TK-3170 which is Part 95 certified. This is my usual carry radio when I'm out and about. You can find these on eBay for reasonable prices if you shop for a while. Using a cheap 1/4 wave magnet mount it does a good job hitting local wide area coverage repeaters. It has enough range on the PLL to work down into the Ham 70cm band to access the local repeaters there as well.
https://forums.mygmrs.com/gallery/image/263-tk-3170jpg/
https://forums.mygmrs.com/gallery/image/338-cheap-14-wave-gmrs-antenna/
 

But it doesn’t say anything about gmrs or uhf.   It might not be gmrs certified.  😂 

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I think GMRS is rad, I got my license but just don't have a lot of people in east San Diego using repeaters.  A new one went up recently and I actually talked to a guy on it which was kinda cool, other than that I have never had a radio check come back to me on the other one.  I got my HAM license and it is night and day, tons of good strong repeaters on peaks, lots of people talking and through a linked system I can hit my house 100+ miles away from down in the desert.  

Good recommendation.
The main issue with linked repeaters is when one is used the whole system is in use over a wide area making the additional repeaters rather useless. For example when two locals are talking, on their locally linked repeater, why would somebody 200 miles away care about their conversation when all they want is to contact their base station from across town using their locally linked repeater.
With many of the Ham repeaters, particularly the digital voice mode ones, have a way to either access the repeater and keep the communications local or address a remote repeater(s) specifically for a link.

As @kidphc mentioned this is an example of what a "read" of a radio can show you.
https://forums.mygmrs.com/gallery/image/290-nx-1300duk5/?context=new
 

I’ve ran into a few. Fortunately just a small number. Most are paranoid about getting ANY negative feedback. I’ve gotten refunds from sellers that said in their ads “NO RETURNS”. In general my experience has been pretty good.

I’ve ran into a few. Fortunately just a small number. Most are paranoid about getting ANY negative feedback. I’ve gotten refunds from sellers that said in their ads “NO RETURNS”. In general my experience has been pretty good.

As @kidphc mentioned this is an example of what a "read" of a radio can show you.
https://forums.mygmrs.com/gallery/image/290-nx-1300duk5/?context=new
 

I'll give my take on it from an RF antenna engineer perspective...
In a few cases that I've seen the coil serves to make what should have been a longer antenna shorter. The classic example is a helical on a handheld, say for the 2m ham band, that should have been 1/4 wave, ie about 19 inches. The coil'ed up whip turned into a "rubber ducky" is electrically 1/4 wavelength long courtesy of the "mutual inductance" of the adjacent winds of the coil. Such an antenna is not 50 ohms but can be close-enough if the diameter/coil pitch and over all length are tweaked a bit. (did you know that a straight 1/4 wave whip is not really 50 ohms either, we shorten it a bit to bring it closer to 50 ohms). 
As for a coil in the center or there's abouts, of the mobile antenna: That can be to shorten it similar to the above. But most likely it's to give the proper phase relationship (read RF time delay) between the upper and lower straight parts of the whip. This is actually rather simple to think about if one comes to a curious understanding of how antennas work. Let me give that a short try....

The above diagram was pasted in from the web. The red line shows the magnitude (distance from the black line) and phase (which side of the black line) the RF current is on the various wire lengths (in fractions of 1 wavelength). Note that the top end is always zero magnitude. Has to be, at the end of the wire there is no where for the RF current to go, so one can literally start at the top of the whip at zero current and draw the above curves from the top down.
Let's look at the 1/2 wave example. If I could place two of these antennas, one on top of the other, then view this from a long ways away at the horizon to the side (where we want the radiation to go), we would see two RF current sources with the same phase and magnitude adding up in my desired direction. We call this "gain". ...gain being more signal in that direction compared to a dipole. 
But look at the 3/4 wave example above and note that the bottom 1/4 wave has the phase opposite of the top 1/2 wave (assume that the bottom extends below the horizontal line). Such an antenna does NOT have these two RF current sources adding towards the horizon because they are out of phase with each other. What to do???
The answer is simple: put a phase delay in between the bottom and top 1/2 wave sections so that they are in phase with each other. What could that be??? a coil would do this just fine. It would be good to make this coil physically rather small so that it does not radiate well itself, and of course would have to have enough inductance to perform a 180 degree phase shift in order to bring the top and bottom antenna halfs back to "in phase". 
This is just one example, but should give you the understanding that it is possible to implement this in a variety of ways with different lengths of top and bottom parts, each requiring different coils. Two 1/2 waves "co-linear" is classic and works well. But the coil has to be 180 degree phase shift and that's a lot of coil. More commonly they use say 5/8 wave over 1/4 wave which requires a smaller more practical coil, but does then suffer some undesired upwards radiation due to that annoying extra 1/8 wave part of the 5/8 wave section. Now we enter the world of compromises. Mobile antennas are full of compromises it turns out. The best antennas are the co-linear base station antennas that are housed within a protective casing (usually a fiberglass pipe) where they can implement the above idea of stacked 1/2 wave sections several times over and the fiberglass pipe supplies the mechanical strength. Some of those can reach 6dB and more in gain towards the horizon, something a mobile antenna can only dream of. 
I sure hope that makes sense and helps. 

And that is why one should be careful which radio they buy if one cares about using a Part 95 compliant radio.
I didn't post my earlier reply to argue with anyone, just to point out that there are Part 95 compliant UV-5R radios available.

All of the LMR type radios I’ve dealt with were mono band. As pointed out there are a few multi-band radios.
I haven’t ran across a radio that wasn’t dual mode, analog FM and one digital voice mode. There are some radios that have two or more digital voice modes, with analog FM, but are generally the newer more expensive models. If you’re interested in digital voice you need to decide which mode. 

I’m mainly a Kenwood guy but if you want to stick with Motorola I have a few that seem to be OK. Just be ABSOLUTELY sure you get the right band spread. If you want the cover the Ham 70cm band and GMRS then you want the 400 to 470 range.
https://forums.mygmrs.com/gallery/image/261-motorola-xpr6550jpeg/?context=new
This radio will do wide and narrow FM along with DMR, Digital Mobile Radio, which is reasonably popular on the Ham bands.

It’s just unfortunate that most people assume if their cheap electronics is messing up due to interference from a “properly functioning” radio transmitter it’s their problem, not the radio operator’s.
One interesting suggestion has been to put up the antenna(s) and don’t transmit for a week or two. When the neighbors notice them and come knocking because they “assume” it’s you just show them the end of the coax laying on the floor, no two-way radios in sight. When they see it can’t be you they’ll just go away and quit being a**holes.

Ham radio and GMRS is the same as far as Morse Code goes....not required for either one. 
 

Hope you do. If not don’t cry about it on this forum.
 
If the AM radio falls under FCC Part 15.5 you’re likely S.O.L. The FCC will tell you to complain to the manufacturer of your AM radio.
https://www.ecfr.gov/current/title-47/chapter-I/subchapter-A/part-15

Some people do care.
One major issue with the UV-5R, at least the early models, they were noted for dirty transmitters. The joke was they were multi-band radios, i.e. you could talk on several bands all at the same time! Some people quit using them specifically because of that.

That was the primary purpose the FCC had for GMRS. Simple communication for the general public.

Thanks for the internal photos Lscott.  Wow, look at that delightful full sized metal shield. No wonder these radios radiate well, they have a huge "ground plane" for the whip. I stand by my statement that if one puts a true and efficient (read low loss, not steel but rather copper) whip on this radio it will radiate very well indeed. 
 

See attached file.
EUT-INTERNAL-PHOTOS-6131155.pdf

The best part of that article is that the person in the photo is using MURS.  I guess Walmart and fast food restaurants have proven to be formidable enemies.

It helps if you can read Chinese too.