It really depends on your certification area. NYC schools are mainly looking for teachers in high demand content areas: Special Education, Science and ELL/ESL. Since you have certification in one of the above mentioned, your chances are much better on landing a job in one of the public schools.
Go to the NYC DOE website:
http://schools.nyc.gov/TeachNYC/default.htm and apply through there. You can also get a list of charter schools from the DOE website and approach them directly about any openings.
Good Luck!