My first choice would be Little Palm Island, but its pricey!: http://www.littlepalmisland.com
Here are some others I'm familiar with (either I've stayed or family members stayed there). Also think about whether you want families around during your stay. Little Palm Island and Casa Morada only allow children over 16.
However really big, corporate resorts tend to be very family friendly, meaning kids will likely be everywhere (Cheeca, The Breakers, and Casa Marina all allow children).
Cheeca Lodge http://www.cheeca.com/
The Breakers Palm Beach: http://www.thebreakers.com/
Casa Morada: http://www.casamorada.com/
Casa Marina: http://www.casamarinaresort.com/