I think the 2k units are the "sweet spot" in price vs. performance vs. portability. They're not that much heavier than the 1k generators, I think they're a bit quieter, you get 2x the current for about 1.2x the price. I realize you're not worried about this now, but if you change your mind later and want to run the AC, you can add a second unit in parallel.
Il Carriaggio — 1975 Argosy 24 | Il Progetto — 1976 Argosy 28 Center Bath | WBCCI# 15566
He has all of the virtues I dislike and none of the vices I admire. — Sir Winston Churchill