I took a quick trip over to ICRUISE.com - and plugged in kid friendly (or whatever their term was ) and came back with :
http://www.icruise.com/main.html?main_kids=on&x=25&y=18
Quote:
Hey, party-animals move over, Carnival caters to kids as well as grown-ups. Fleetwide (except for the older Jubilee, Celebration and Holiday), there are large playrooms and supervised activities all day long. In summers and during holidays, 500 to 800 kids per ship is typical.
Activities for four age groups from ages 2-15
Wading pools fleetwide
Kids' menus
Group baby-sitting 10pm-3am ($) for as young as 4 months
Apple iMacs in the playrooms (except on Fantasy, Inspiration, Holiday, Jubilee and Celebration).
Kids dine w/ counselors on the two formal nights
Cribs and beepers available; strollers for rent
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It lists what the other cruise lines offer as well--
Basic gist of what I read - most kiddie cruise camps start at age 2... While babysitting is available -- there's not much for kids to do...