We too use one Honda 2K inverter genny - it provides us with all our power and recharging needs, except running the AC, of course...
I do wish an electric remote start was an option with this sized Honda, as we leave ours hooked up (and cable locked around a tree!) when camping...It would be so handy to be able to hit the 'start' button from inside the AS when we need the microwave for a couple of minutes...
I carry a 10/3 wire gauge, 100 ft A.C. extension cord - I can put the genny really 'out there' behind a tree, etc., so that we (and any neighbors) can't hear it at all - Those Honda's are just plain GREAT!