If I were a NYer or had a valid carry/firearm permit, I'd contact the community service office or crime prevention unit to see EXACTLY what the local PD's concerns or legal issues were. Be honest & open about your firearm questions and they should assist you. Since the LE agency is where you live or work that would be where you are most often.
I'd also suggest buying a copy of www.gunlawguide.com
or atty David Wong's detailed guide to US gun & knife laws. Your state AG's office or www.NRA.org
may help too.
Stay safe & stay legal!