I've had a Vizio 16 inch LED (M160MV) for about 2 years and have been very happy with the exceptional picture quality. It has a power brick that's......12 volt....rated at 18 watts (1.5 amp), so I've run it off my Optima deep cycle battery for a week while out boondock camping. Check out monoprice.com for best prices on TV adjustable brackets and wall mounts. I think I paid about $8 for the one I bought. I use a vise grip clamp to place it anywhere I need or you can screw it into the wall. Monoprice has great prices on HDMI cables and everything else you would need at ridiculously low prices compared to the box stores. No problem running 12volt directly to a tv designed for that. If the tv says it runs off a power brick use Amazon and ask if it's 12 volt prior to buying. Google is your best friend.....:)
You can find low power DVD players by the dozen at thrift stores like Goodwill, St. Vincent, Value Village, etc. Find one of the car based payers that run off of 12 volt. Or you could get a low power inverter. I have a 400 watt AC/DC inverter and can run all my electronics with no problem. I like the extra buffer via the inverter when there's a power surge or spike. You lose a bit of power, but not enough to worry about if you have a decent battery bank and backup.