The cost to incorporate in New York is $175.00. Upon filing, which takes around one week with the standard filing fee, your business becomes a legal entity in itself; it will be able to enter into contracts and take out loans, and its owners enjoy limited liability protection from debts and obligations.
If you'd like your Articles of Incorporation filed sooner than that, there is a slightly higher cost to incorporate available that can have your corporation registered in New York within 24 hours.