For watching Tv etc all you need is an inverter that draws from the batteries. Then you use your generator(s) to power a battery charger or converter or inverter/charger to recharge the batteries when it is during "generator hours."
A newbie guy parked near us used his gen in the evening to watch TV because he had never heard of an inverter! Lucky for him I didn't have my Bazooka handy. :)
You need two 2000s for when your continuous load will be over 1600 watts, otherwise one will do. Your microwave probably wants 1500w so if you are also battery charging (1200w? maybe less depending) you will need two anyway.