I live a long ways from you so what things cost here are probably different, BUT I would suggest that you shop around and tell each place that you are shopping around. You might be surprised how competitive they will be :) When I moved to So MN from the Twin Cities (about 2.5 hrs away), I paid $1800 to move a 3 bedroom home of stuff including mileage. However, when my ex-husband moved down here (*sigh*), he had to get bids since his work paid for it, and his work only paid $500 more and they PACKED him too! I would tell them that you are taking bids for the move, have them come out and do the bid (maybe get three of them), meet them personally and get all the ins and outs of what exactly is included (like boxes, mileage, are the bonded/insured).
Good luck - moving stinks :)