What you want to do, if at this time you do NOT have an AC unit, is find out how much start up watts it needs, along with the how many watts it needs to run. The start up watts is usually what kills a gen set/ AC combo. The AC may run on say 1800 watts, but it needs 2200 to start the thing up, which kills the genset. Or in your case, do not buy a 2000 wt unit, get a 2500 or higher unit since you have neither at this time.
This is correct. My 12,000 BTU Marine Air heat pump/AC, along with the 115 VAC "March pump" that circulates sea water through it, eats 17-18 amps at "kickoff", which is pushing my Honda 2000 to the limit...i.e. it may not work. I have yet to actually try this in real life, but knowing that it's an issue will save time and experimentation.
But another aspect to the Hondas that is less well known to me is whether or not the ability to "gang" them together via what? some sort of thick Y-connector? will yield twice the amperage (equivalent to a 4,000 w output).
This is enough to run a 16,000 BTU unit plus a power tool, as far as I can tell, but I don't know if anyone's tried it.
On a certain level, it makes more sense to have two
identical 42 pound, 2000 watt portable gensets and a "combiner cord" going into your 30 A shore power receptacle than it does to have a single, 80-100 pound 3000W genset.
One factor is maintenance, another is that they are each others' backup for everything but kicking off the AC, and a third is that most battery chargers will accept their full output, meaning you can supply most battery banks with a much reduced run-time. Fourth, you could run power tools on deck AND vacuum the boat without drawing on the inverter simply by using them as 13 amp AC power supply at anchor.
Lastly, lugging and stowing two Honda EU2000s is going to be easier than lugging and stowing a single, larger genset.