Look through the last couple pages of threads here in the NC forum, the question comes up rather often. Make sure you read local and NC laws and understand them, don't just go by what you read in the NC AG document on our laws.
How you conduct yourself with the police will largely be determined by how you want to assert your rights. One thing to be absolutely sure of is that the weapon is plainly visible and that you do not look to be trying to access it. I always put my pistol on the passenger seat when traveling alone. Try to have your paperwork in order and in hand when the officer approaches.