There are many ways to remove the crimp. I use the RCBS primer pocket swaging combo. Comes with a large and small swage rod.
It works well enough, Maybe 90% of the brass swaged it does fine.
One particular brand of brass is difficult no matter what. I purchased a 1000 Speer 223 cases a couple years ago.
Its great brass for reloading, but the primer pocket makes you pay for that privilege.
The swager would remove the crimp just fine, but this brass has a tight pocket with very sharp edges. Gives you lots and lots of damaged primers.
Solution to that problem and can also be used by its self to remove primer crimps on any brass. Is you chamfer (sp) tool.
Just spin it in the pocket a couple times and out comes the crimp.
You end up with a nice rounded edge primer pocket.
Oh one thing you want to do. Mark your brass after you process the primer pockets. You only need to do it once. After a range visit you will be surprised how much extra 223 brass you come back with. Makes sorting them easy.
Mark = Goes in the tumbler no mark = goes in the to be processed pile.