Do not bring any gun into NY state (assuming you will stay for awhile) unless you have a NY state permit to POSSESS a handgun.
You cannot even handle a handgun in NY without a permit (unless you are participating in a NRA sanctioned compitition).
Can you get a permit to Possess anywhere in the state, or even a permit to carry off your own property if you get a permit to possess? In NY, becasue of you have a "residence" there? Strictly depends on the Judge in your county of "residence". The Judge has total discression.