NYS red tape
Permitees in NYS should know that their permits are valid throughout the state except in NYC. You would need a separate permit for the city. Long Island residents who must pass through the city to get upstate may do so with the unloaded gun in a locked box and not readily accessible. The trip must be uninterrupted. You can't stop to pick up your buddy, or for gas or for coffee.
I'm retired law enforcement so I have the coveted "carry" license without restrictions. For a time, I also needed the separate NYC license but this hassle was eliminated for retirees and my Nassau County license is now valid in NYC.
NYS is an anti-gun state like MD, MA, NJ, CA and IL. I don't see any relaxation of carry privileges here in my remaining lifetime.
Int'l Assoc. of Law Enforcement Firearms Instructors