Hi Jerry, I own the Fort Pierce repeater which covers the Port St. Lucie area very well and with a good base station you should be able to get to West Palm Beach. For your house, you would need a UHF base station antenna outside as high as you can practically get it (ideally on your roof if that's possible). Elevation is the key to getting better range. For a base radio, you can use a mobile radio and a power supply hooked up to the antenna. Some form of lightning protection for the coax that comes from the antenna is advised, especially in Florida. There are Polyphaser surge suppressors that you can buy which will protect the radio from a surge in the coax caused by a nearby strike. For your mother's house, depending on where she's located she might be able to use a handheld radio which would be good for mobility, but you'd have to try it out and see. I'm not sure if you have a GMRS license yet, but a license would cover yourself plus your immediate family members which includes your mother, so there's only once license to purchase from the FCC. Once you have a license you can register for the main myGMRS.com website and you'll see the frequency and PL tone information needed to program your radios to the Fort Pierce repeater, and you can try it out. I actually put up this repeater for my elderly aunt and uncle who live on the island. Their cell service isn't great and they have become stubborn and don't like to evacuate when there's a hurricane. I wanted a way to reach them by radio, or a way for them to call others for help if they ever need to. I live in NJ so I have linked that repeater over the Internet which allows me to talk to them when I'm not in the area.