If the kids are 4 and up, then I would definitely do either Neverland Club @ Poly or Cub's Den @ WL (I would probably choose according to what was closest to where I would be)...I don't know anything about AKL's childcare program, so I can't comment on that. The programs are wonderful and the their stay there will be one of the highlights to their trip.
But, the children are too young for these programs, then the Kindercare in-room service is great! We used them once for our 3 1/2 yr. old and our 3 mo. old (I still can't believe I left my teeny baby....but w/ a free meal at V&A's, we had no choice.) Their employees are well trained, and my oldest had a fun time w/ the sitter....My youngest decided she was STARVING about 15 minutes after we left....I was nursing her....and she refused the bottle from the sitter.....needless to say, the sitter DID NOT have an easy time of it! (Not her fault!) Even so, my oldest played games, colored pictures, and had a ball...
I wouldn't hesitate to recommend either service!