I would have to agree with Luke. It sounds like you have enought for your downpayment, you just need to make sure that your credit is good and your debt to loan ratio and income will support the purchase. This is a great time to buy a home, but you want to live in the home not for it.
Good Luck and Happy New Year.
Considering the new FHA loan limits in New York and the very reasonable 3.5% down payment requirement, your down payment amount seems very reasonable. As long as your income and credit supported the approval of the loan amount you want to borrow, then you should be okay to move forward. You will probably need a good % of seller concessions for closing costs though as those can be quite high in New York.
If you have any questions about qualifying for a new mortgage, please feel free to call me.