Not knowing you square footages and such can't say for certain, but including ceilings and trim that sounds like at or toward the lower end price-wise - around here (granted, somehwt higher cost area) you would be looking at more like $3000-4000 for that scope. One thing you did not mention - if you are getting a good price do you want to include the rest of the rooms (presumably dining room, living room, maybe rec room if they have not been painted recently ?
Though of course getting 3 responsive bids is the quickest way of finding out what the "market price" for your job is. And be sure they are bidding with equivalent paints and prep effort - I would be a little cautious about your $2000 bid including paint - is he bidding good quality paint, or the $25/5 gallon pail box store kind commonly used for move-out "hit-and-run spraygun" painting.
You can find a lot of previous questions with answers about typical indoor and outdoor painting cost in the Home > Painting category under Browse Projects, at lower left.