The Disney Dream was the first cruise for any of our family with 2 & 7 y.o girls. The overall experience of the cruise was amazing. It takes a lot of organisation to get things done but there was not a minute of boredom/downtime during the 3 night sailing.
The ports we stopped at were Nassau and Castaway. We only got off the ship for a short period at each. At Nassau we visited the Blue Lagoon Dolphin experience, expensive but a worthy attraction.
The weather at Castaway Cay was lousy so we just had got off to take a look and hopped back on after 90 minutes or so. The advantage to this was while we were back on the ship it was much emptier, so could explore and experience without crowds.
Clean, modern, roomy