Get an inverter generator. You will grow to hate a noisy generator. You might start out with two group 27 or 29 batteries or two GC2 in series. You don't need a big inverter for watching TV and laptops and stuff like that.
A 2000 watt inverter generator should run a microwave or a toaster or hair dryer charge your batteries. You may also want to upgrade the converter because many oem's only go to 13.6 volts. Upgraded converters will put out 14.4 volts but I would look at some that go up to 14.8 volts. Those higher voltage models are going to do better at turning gasoline into battery charge.
It's best if you do an energy audit and come up with some idea of how much power you're going to use. The batteries are like your bank account your bank account needs to be big enough to carry you over night. You're charging sources, generator converter and solar are your income. You need enough income to refill the bank account plus about a 10% penalty in system losses and inefficiency.
Look at pianotuna series on solar at freecampsites.net. I think his posts are in the blog section.