What do you want to power with an inverter?
If just the LED TV you can use one that plugs into a 12v
plug. The LED TVs only put out about 45w. I have a 120watt Samlex Sine wave for my TV for dry camping. I can also use it in the tow vehicle.
120W 12VDC to 120VAC Pure Sine Wave Power Inverter | PST-120-12
Anything more then what Larry said above is good advice.
I like the idea of and inverter/charger then all your 120v outlets can be tied in without running separate wires which is what AS does during the build but units like Magnums will run you $1000 and more. Then you have to think about the batteries and if they have the capacity to do what you want and how to charge them so you can use them the next day. This may mean additional batteries, solar, and/or generator.