My two centavos:
Need A/C? Look at a 3000 watt inverter, or two Honda eu2000i models paired up.
No A/C needed? For maximum versatility, I'd recommend a Honda eu2000i, because another can be added, or a high-draw appliance like a 1200 watt microwave or an electric space heater used.
No A/C needed, and one only needs basic charging? A Honda eu1000i or similar.
As for solar, it is more of a "why not use it" as opposed to "why use it" these days. It isn't too expensive, and the price/watt of panels is pretty good these days.