My husband and I recently returned from taking our 18-month-old daughter on her second Celebrity cruise. There are many reviews on this board attesting to the beauty and five-star class of the Equinox, which I would certainly second. The ship is top-class in its decoration and shows. I found some of the staff to be less friendly than on our first Celebrity cruise aboard the Summit, but that is personally relative. The dining room, though elegant, felt more squishy and our waiter had more tables, but I assume that that also varies from table assignment to table assignment.
From a mother's perspective, though, the Equinox was fantastic for those traveling with a young child. Since our daughter was under three and not potty-trained, she couldn't swim in the pool or join the Fun Factory activities. We knew that in advance and were just looking for a chance to hang out as a family without the distractions of everyday life. We were happily surprised to find the lovely, relaxed top-deck lawn that was perfect for little feet to release some energy. Also, between the stage and pool, there was a water feature (numerous small fountains at ground-level) that kept our daughter safely entertained. She never once looked jealously at the pool and she wasn't bothering anyone. Finally the Fun Factory had pretty loose "toddler time" hours so we were able to play with her using their well-kept toys and didn't need to devote much coveted luggage space to her toys.
Beyond those nice surprises, I'm happy to report the same joys that we had on the Summit such as watching her face light up with all of the great live music and being able to catch so much live entertainment (we always sat in the back so we could make a quick exit if needed).