The Breakers Palm beach has an infant and toddler pool. It was small, but what else do the little ones need? It was less than a foot deep and situated right near the main pool and active pool. It was nice because not many hotel properties allow babies in swim diapers due to public health risks. We had our son double swim diapered! Children are allowed in the other pools as well, but I loved that they have a pool specific to the little ones.
There was a full fledged playground near Family Entertainment Center & Italian Restaurant. During the day it was fairly empty, but in the evenings there were kids of all ages playing on the equipment.
Within the Family Entertainment Center, there were a variety of things such as computer stations, a movie theater, large arcade, toddler room with toys, large fishtank, craft tables and more!
From 5:30pm until 9:30pm children ages 3-12 can have dinner and participate in a variety of activities from arts & crafts, supervised indoor/outdoor activities, and scavenger hunts. If reserved early enough in advance there are also in-room baby sitters available.