If you're firing .223 from an AR, I suggest going with CCI primers on account their cups are harder and resist slam fires (doesn't usually happen, but....). If you send the bolt home on an AR loaded with Win/Rem/Fed primers (especially Fed), and then extract the round (without having fired it), you will notice a dimple on the primer where the firing pin contacted it. It is this that can/might cause a slam fire. So for safety, any autoloading rifle I load for (my ARs and my M305) use CCI primers.
If your loads aren't for an AR, any primer will do.