Inverters come in MSW which can run most things but not all, and PSW which can run anything. PSW is more expensive than MSW except if there is a sale on the PSW ones and not on the MSW ones at the time.
With all the modern gizmos that need recharging, IMO it is safer to get PSW. EG, some electric drills that need recharging won't on MSW, so I wonder about some of the newer gizmos that need recharging that have those funny batteries in them--I just don't know, so I would play a safety on that and get PSW. They keep coming out with new gizmos, so who knows what they will need?
EDIT: Oops now you want a big inverter to run the MW etc but only need a small one for the laptop, tv/dvd etc. Split personality needs two inverters. A 2000w (can be MSW) for the MW, toaster, etc and a 300w PSW for the little stuff and the sensitive stuff that needs PSW, which are little.
But the big inverter needs a big battery bank or else swap to AGMs that can handle the heavy loads without dropping in voltage so much they trip the inverter's alarm at 11 v.
So with the B, lets say you can only have two batts but you want the 2000w inverter to run a MW. You can do that but must get two AGMs. Two Wet 6s or two Wet 12s won't get it done.
Your installer better put in short fat wires from the big inverter to the batts too. Watch them like a hawk! Installers are notorious for doing a bad job for people who don't know what is right. Don't be yet another victim :(