I used Gentle Giant too. They may quote you high, but find out what the hourly rate is. They quoted me at $118/hr. When they did the move, they had given me a rate of something like $200/hr, so the price was doubled. After complaining, they saw the original quote and gave me the reduced rate.
Can anyone in Providence recommend a decent local mover who can move the contents of apartment into a nearby storage unit? I won't have much help in the move so renting...