Be sure and do the math on how many amps (watts) of 110v power your battery charger needs going into it, and how much output it gives (12v amps) going out. Then compare that with how much power you use out of your battery(s) and know going in what is best for your situation.
Here's a hypothetical. You run the microwave, some lights, the tv and vcr/dvd, a little computer, some radio and maybe a fan. Let's say you use 25 amps in a day. You only want to run the getset every other day so let's say you have 100 amphours of battery. Pretty conservative so far. You need to put 50 amps back into your battery every other day. Due to the way batteries accept a charge if you have a 10 amp charger you'll run the generator 7 hours or more every other day.................. Is that what you're expecting?
Ken