CCI primers are usually the hardest primers, Federal are the softest, very easy to ignite, I've got a customized PPC revolver that is tuned for the very best double action trigger possible, which means all the springs have reduced power, this revolver is only reliable shooting Federal primers. One time I accidentally loaded a hundred 38 special loads with Winchester primers, only about half of them fired, I never had a misfire while using Federal primers in that revolver, that is the way that revolver is set up.
I prefer to use Winchester or Federal primers in almost all of my loads, IMHO they work the best for me.