We travelled on the Disney Dream May 13-17 with our 3-year-old son and 5-year-old daughter. We had a wonderful time. I read nearly all these reviews before we left, so I won't repeat anything, but will give my brief opinions on what has already been said.
We had no trouble with the elevators, really. Unless a ton of people were leaving the deck party all at once, or a show all at once, there was rarely a wait. We just used the stairs when there were lots of folks leaving the same venue all at once. Never any problem.
Service was great, especially the stateroom service and dinner service. Our dinner servers were incredible, really, and knew exactly when to bring our dishes and our kids' dishes. They completely understood the need to eat fast with young children. Once I had to leave with my son early, and they packed up two desserts for my husband to bring back to us.