Agree with Big Box. That's pretty much what the RV builders use.
What type of TV are you replacing? CRT Screen? Older Flat Screen? With or Without a Digital Tuner? Any can have challenges but they're all do-able.
Wanted to add, some of the new flat screens use an external power supply "brick" like a laptop PC. That can get in the way of a clean install job depending on where the outlet is, but there CAN be a big plus. Usually the ones with the "brick" are running 12-volts-DC, so it could be possible to use it when 120-AC isn't available. Otherwise, Inverter, Generator, Do Without.