It was a wonderful trip. My 14 month old daughter had a blast. She received lots of attention from the warm, wonderful staff.
A few notes...
Kids under age 3 and/or in diapers aren't allowed to set foot in the Fun Factory, even to play under parent's supervision. It is some kind of health code regulation.
The crib provided was a pack n play type. I'm glad we didn't bring ours. I did bring my own pack n play sheets, though. Celebrity just had a regular sheet folded up.
Shore excursions were free for kids under 3. We took the baby on the "Antigua Beack Break" which I wouldn't recommend. It went to Miller's Beach. I'm sure we could have found a much nicer beach on our own. We also took the baby on the "Coral World and Magen's Bay" tour in St. Thomas. She loved looking at the fish at Coral World and had a blast at the beautiful beach. The crowds weren't bad as the tour was in the morning. At other ports we explored on our own or took turns with the baby. We traveled with a family group of 9 so taking turns with the baby wasn't a problem.
The sit n stroll comb carseat stroller was great. We used it on the plane (we always buy a seat for the baby), in cabs and as a stroller.
It was a wonderful trip. Our only mistake was flying down the same day. The baby was great (slept for 2 hours on the plane) but it made for a long and exhausting travel day.
Any questions, feel free to ask.