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Hi L.,
I am originally from NY and just recently took my one year old. In NYC, there is a small but awesome children's museum called the children's museum of manhattan. They had many activities there including art, music, and play areas. I also love the Bronx zoo and the central park zoo which is even closer (Bronx zoo is bigger). If you plan on doing a lot of tourist places and museums like the empire state building and statue of liberty go early and check out citypass.com for a pass that you pay for a certain number of days and gets you into just about everything. I think it is better than another pass called the new york pass but you can check that out too. It saved our family a ton of money and we got to go to a lot of extra places that we wouldn't have normally gone to but we went since they were included on the pass.
Hope this helps!
Let me know if you need anymore info!
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