We have done this several times. I was very hesitant at first to use the club but I should have done this sooner!!! The kids LOVE it and now request to go to the Neverland Club. They have also been to WL's Den's Club but they like Neverland better (it's larger and a more interesting kids club). DH and I have only used Neverland when we've stayed at the Poly but this summer we will use it when we are staying at BWV but going to Victoria & Albert's for dinner. Anyway, it's SO easy and carefree. The adult that is going to pick them up must be the one to drop them off. But you just check in, give them the kids' choice for dinner, give them your cell phone number, and you (and the kids) are OFF! There usually ends up being 10 to 20 kids there (although they can accommodate much more). My kids have made 'buddies' with the other kids and then when they see them around the resort or at the pool, they have someone to talk to and play with as well.
It is pricey (~$12 per kid per hour) but totally worth it!! DH and I usually have a dinner scheduled at Epcot and then walk around world showcase, watch illuminations, and take the monorail back to TTC. Just remember the monorail only runs until 1 hour after Epcot closes if that is your plan
Love seeing all the updates and pictures!!! But I had to comment that I still can't believe they don't have bottled water at concierge (the plastic ones to go). That is the ONE reason I like it when I travel (for business, I don't stay CL at Disney).