R.F.
A short walk north, away from the Central Park Zoo and Children's Petting Zoo is a small playground that I used to LOVE taking my kids to. There is an AMAZING granite slide that the kids love going down. I would look for a broken piece of cardboard box to slide faster down. I'd put the 2 yr old on my lap to go down.
http://www.centralparknyc.org/visit/things-to-see/south-e...
My kids are 12 and 7.5 now and we go every other year. We were there over Spring Break. I would not eat at Bubba Gump in Times Square. It's an expensive, just so-so tourist trap.
macaroni kid nyc website
time out ny kids magazine or Time Out Ny magazine is the first thing I pick up at the airport.
Mommy poppins NYC also is a great website for ideas.
I love Central Park. But my daughter (7.5) had a hard time with all the walking.
Museum of Natural History is always good.
I happen to love Top of the Rock viewing deck at Rockerfeller. It's far superior to the Empire State Buildling.
I have an annual tradition of taking them for breakfast or brunch at POPOVER's on the Upper East Side. It's so yummy and unique. They used to have teddy bears all over the booths, but took those away. At least you get to visit a real NYC neighborhood instead of just a touristy spot.