You will probably need a partners income if you want to live in a unit where you can raise a child, and will need significantly more for the both of you to raise multiple children.
If you want a three bedroom then you'd want to live outside of NYC and commute about an hour by train. It'll be around 3k-4k then.
I lived in NYC for almost a decade and I don't remember anyone having a 3 bedroom.
I lived in 1 bedroom in Astoria (Queens) for $1.5k-$2k