Difficult to answer this one. Too many unknowns.
There are very few, if any, 32 inch flatscreens, that run strictly off 12 volt. I have seen several 24's and below, that will.
Powering it, depends on where and how you camp, and, what kind of power storage (multiple batteries), or, recharging capability, you have in your camper. Also depends on power consumption of individual TV and amount of daily time, you plan on using it.
Most TV's with a 120 volt plug, will run from an inverter, but, the inverter gets its power from your battery bank. Two or more batteries, will give you more amp hours than one.
All will run on power from generator, but, most campgrounds have restrictions on hours of generator use.
There are a lot of different options (for 120 volt TV):
1. Campground with shore power.
2. Single battery with inverter.
3. Multiple battery with inverter.
4. Single battery with inverter and generator.
5. Multiple battery with inverter and generator.
6. Single battery with inverter and solar panel.
7. Multiple battery with inverter and solar panel.
8. Single battery with inverter, solar panel, and generator
9. Multiple battery with inverter, solar panel, and generator
Multiple options for 12 volt TV:
Same as 120 volt, except, you don't need and inverter
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