Family friendly apartment/"aparthotel" in New York. Anyone have any experience?

[number 2]

We're thinking of going to New York with our 5 year old this summer. We've got into the habit of always staying in cottages, villas, apartments and the like when we go away so that we always have the chance to put him to bed and then have a bit of an evening to ourselves. Does anyone know of anywhere or done anything like this in New York? My other half read a trip advisor piece today that said it can be really dodgy to do private lets as there are massive restrictions in subletting so many places in NYC. Any advice would be much appreciated. Thanks