Preemptive welcome to Colorado!! Whereabouts are you moving to?
No restrictions on how many handguns or longgunsyou can buy in any given timeframe, well maybe one: the size of your wallet!!! CCW makes no difference as well. There is no waiting period or "cooling off" period either. My best time from "I'll take it" being uttered and me leaving with a big smile and a bulletlauncher is 15 minutes. Longest time was three days cuz Instacheck servers were down. My average nowadays is about an hour. Not sure if it's because so many folks are buying guns or what, but it has gotten a little longer. Also, no restrictions on ammo.