47 CFR 90.7
Base station. A station at a specified site authorized to communicate with mobile stations.
Mobile relay station. A base station in the mobile service authorized to retransmit automatically on a mobile service frequency communications which originate on the transmitting frequency of the mobile station.
Mobile repeater station. A mobile station authorized to retransmit automatically on a mobile service frequency, communications to or from hand-carried transmitters.
Mobile service. A service of radiocommunication between mobile and base stations, or between mobile stations.
Mobile station. A station in the mobile service intended to be used while in motion or during halts at unspecified points. This includes hand carried transmitters.
And yes, GMRS is covered by this section of the rules. Home based stations are not licensed to operate from their home location only.