If running the AC reliably, a single 2000 may disapoint you when you need it most. So you'll need either two honda 2000's a honda 3000 or a yamaha 2400
Honda 2000
easy to carry
two honda 2000's give you 3200W continous, 4000 peak, more than a honda 3000
price for two is virtually the same as a honda 3000
noiser than the honda 3000
no electric start
not as long a run time
Honda 3000 (the REAL 3000, NOT the handy)
much heavier than 2000
electric start
quieter at idle and full output than the 2000's
2800W continous, 3000peak
Personally I'd stay away from the honda 3000 handy. Yes it is less expensive, yes it is lighter, but it has less continous output and more importantly is not near as quite as the real 3000 or even the honda 2000s.
so figure out what is important to you.
And if your shopping for either the honda 2000's or 3000 seriously look at the yamaha offerings. Yes, I have the honda 2000's,love them, but 10 years ago yamaha didn't have comparable offerings. Today they definitely do and well worth considering.