In NY, have your gun(s) locked in a case, unloaded, with ammo in a separate container. They cannot be in the passenger compartment or glove compartment, but if you're in a SUV, it should be in the rear luggage area. NY is not a "must inform" state.
New Jersey is also a pain in the *** when it comes to guns. While I've had no reason to travel there with guns, from posts on this and other forums, it's actually as bad or worse than NY.
Finally, there's Maryland. Good idea to use the same storage protocols as above in NY, but in addition to the Gestapo tactics of NJ and NY, they have license plate readers and cross-reference pistol permits with participating states. There have been threads in the forum about traffic stops in Maryland for nothing else than having a CCW permit in Florida....no traffic violations, no other probable cause.
So, familiarize yourself with the laws of each state with the links provided in prior posts. Unless you have reciprocity with your home state, my advice would be... if you're not sure... stow it.