I always found priming cases in the press a pain.

One of the best reloading items I ever bought was a Lee auto-prime, much quicker than the press. I recommend the one with the built-in primer tray. My old one has a circular primer tray, but I believe the improved new version has a square tray (same shape as the primer packaging; so it doesn't drop the four primers in the corners on the floor when filling the auto-prime!)

Hope this helps,
Best Regards
Bill.