I'm looking at the same deal. I'd like to somehow hang a 36" from the top front cabinets on my Mirada.
As for the TV, Anything that will plug into a 120 outlet should work if your running on shore, genny, or an inverter.
If you want to run straight off the battery (12 volts) you'll either need to buy a dual voltage TV (120 Vac and 12 Vdc) OR, If you know what to look for, a lot of TVs that run off of 120 will indeed run directly off of 12 volts, but they aren't marketed or advertised as such.
Here's an article I wrote to help you identify those TVs.
Will a 120 volt TV work on 12 volts DC – MAYBE | 2001 Coachmen Mirada 300QB