It is quite a while since we last went but when DD was two we had a week at The Merton and it was really excellent for families. It had all the things you mention -earlier meals for children and play rooms, kids clubs etc plus a very good indoor pool great for children.
The one that is most heavily marked for children is The Merton. You might also like to look at the West Hill (huge garden with lots of play equipment) or The Old Courthouse in Gorey (not the one in St Aubin), which doesn't have much space on site, but is right by Gorey Common and just over the road from a lovely beach with a sandy playground.
Hi we have 6 nights in jersey in may, for 4 of those we're staying in yurts on the Durrell wildlife park, which leaves us with 2 nights. I'm really struggling. We have two boys 3&5, they don't need much, but good if we can give them an early tea in/near hotel and if we can eat later. Outside space to runaround is good, but facilities for kids unimportant. They're a bit noisy & early risers so somewhere that can cope with that! Can anyone recommend anywhere - cheap or expensive all considered at the moment! Thank you.