Inverters come in 2x2xmany types.
First two: MSW or TSW.. You want True Sine Wave (Also called Pure Sine Wave) epically for audio/video/television equipment.
In-line/stand alone... ANY in-line model will do what you ask,
Many = Wattage, 300,500,600,750,1000,2000,3000, bigger, smaller, in between
300-600 TV and related electronics in the entainerment bay, plus a laptop or two
1000, basically more electronics
1500 add the microwave and possibly GFCI chain
2000 Delete possibly from above sentence
More.. Add more stuff.
Long about 3000-3500 you can add an air conditioner but warning,,, The bigger the load the faster the batteries die, your basic air conditioner will suck a pair of GC2's dry in less time than I took typing this response.... and I type fast.
Home is where I park it!