CCI primers will certainly get the job done for you...I have and use CCI 200's in several loads...I also use Winchester, Remington and Federal Primers for several loads...some loads caliber/rifles/brass/powder combos are more picky than others...

For 223, as redgreen stated you'd use small rifle primers...I prefer Remington 7 1/2's (small rifle bench rest) primers for most all of my 223 loads.