Hotel Beacon apartments on the Upper West Side were perfect when we stayed there with children. Nice apartments, directly opposite a fab supermarket (Fairway Market) and two mins walk to Central Park. Wouldn't stay anywhere else with children now
An apartment hotel is basically a hotel of mini apartment suites. You get a bedroom, and then a separate living area with kitchenette. Still have the services of a hotel with room cleaning, room service, breakfast etc etc but just gives you lots more space, and means your little one has space to play and can go to bed in the bedroom so you can close the door and be chilling and have friends round in the living area.
We did it earlier this year, and it was fantastic. The place even had a really well equipped mini market just off the lobby so everything was on site. Felt like a holiday as came back to a lovely clean and tidy room, but we had the flexibility of having the kitchen so we could give our little one breakfast as soon as he woke up, and sort ourselves out for dinner etc. The space is also great - when you have buggy, travel cot, toys etc, a hotel room can fill up really quickly!