Back to the OP's question, which has several satisfactory answers.
I, too, am installing a new TV in our Sunseeker; I'm replacing the garbage 32" Jensen 720p 12v TV (I see your pixels) with a 32" 115VAC 1080p model which draws 45 watts. I have a 200 watt MSW inverter, but will eventually purchase a dedicated PSW for this setup.
The only reason I'm adding to the clamor is the instructions in the MSW inverter suggest installing a torrid on the TV power line in the event of interference.
Here on the left coast, we're generally out of the range of any OTA TV signals, so any kind of reception is not expected. Rather, our usage tends to be the rare movie, except when we have the G'kids... Then it's on most of the time. (These kids and screen time these days.. Sheesh!)
I'm in the process of building a TV cabinet:

The progress so far:

Where I started with:

More pics:
TV cabinet construction on my photo hosting site.