In the traffic incidents where I've had to interact with LEOs, I gave them my DL, insurance, and CCW permit all at once. I verbally stated: "I have my CCW and I am carrying. It's in a holster" (all while keeping my hands on the wheel and looking at the officer. Never had any trouble at all or specific commands. One officer invited me to his car (I had hit a curb and was waiting to get towed) and (in a friendly manner) asked me why I had chosen to get my CCW.
Another time I was pulled over for a bad headlight in a borrowed car. Same "speech" given to him and the officer asked me what I carried (a Glock 19) and then proceeded to tell me how much he loved Glocks and used the full-size .40 for his duty carry and the sub-compact .40 for his off-duty... No tickets either time either
Whenever I get pulled over, I'm quick to let the officer know what's going on. By the nature of their job, they have to be suspicious of everyone they pull over and the more I can do to show them they can trust me, the more they will trust me.
On a side note, while I was waiting for my CCW to come in the mail, I got pulled over for wearing my hands-free cellphone set while driving in town (it was a set that was in both ears--not just one ear). I didn't have the permit yet and had forgotten that I had submitted the paperwork. However, I had been cleared for the CCW and was declared a permit holder by the state. So you can imagine how unhappy the officer was when he scans my DL and finds out that the kid he just pulled over has a CCW. Through my mirror, I watch the officer come back to my car really slow, unsnapping the thumbreak on this holster and putting his hand on his grip and cautiously leaning in to ask me if I have a weapon in the car...
So yeah, based on that, I'm quick to declare what exactly is going on. The LEOs seem to appreciate it a lot (the sheriff I interacted with specifically thanked me for being upfront with him).