On the NYC.gov HPD website, in the Homebuyer's section there are guides with priceless information on where to start, what to be prepared for, etc. You can view the site here - http://www.nyc.gov/html/hpd/html/buyers/buyers.shtml
Here you'll find a lot of information, including programs you may be eligible for, like for example there is a down payment Assistance program that can help you with your down payment. More info on the down payment assistance program - http://www.nyc.gov/html/hpd/html/buyers/downpayment.shtml
Hopefully you can find something of value there and if you have any further questions on other state or federal assistance programs, you can contact me and I'll be happy to answer any questions and help you find your next home.
Licensed Real Estate Salesperson
Buy Rite Home Sales, Inc.