Question for New Yorkers:?

My wife and I currently make $200k annually (net) and live in Prospect Heights. We unfortunately do not have enough saved to buy a house (need at least six figures in Brooklyn). We have 1 child on the way and no debt beyond just $8000 in school loans. What do you think is a reasonable amount to pay for childcare, either daycare or nanny? We currently pay $3300 in rent for a 2-bedroom and cannot move for another year.