It’s always better to get an on-site written estimate, says Ram Katalan, founder and president of NorthStar Moving Corp., Los Angeles. Don’t pay in full until you’ve moved and are satisfied, though you may have to put down a deposit for an out-of-state move, Katalan says. Be sure your mover provides you with an inventory and be sure every box is labeled with contents, as well as the room where it will go in your new home.