Most major hotel chains have several hotels in Manhattan and there are also some good, family-friendly independent hotels.
Staying in NYC is expensive, but if you hunt down deals and also travel outside high season, family holidays and breaks shouldn’t break the bank. You might try staying outside Manhattan – Brooklyn and Queens on Long Island have bags of character and will show you a whole different side of the city. But make sure that you choose somewhere with good transport links to the centre so you can get back and forth easily, especially at night.
A great alternative to a hotel is a serviced apartment; check deals with partners The Apartment Service, who offer New York apartments from around £100 a day (2-bedroomed from around £200).
B&Bs are another option; see City Lights (citylightsnewyork.com) for recommendations.