Since you're loading .223 and .308 you will start using military brass at some point, that's pretty much a given. I use exclusively mil brass and that requires a slightly different approach since you will need to swage the primer crimp before loading the first time.
I deprime using an RCBS universal depriming die then size and trim on a Dillon 1200 trimmer. This only trims and does not chamfer or deburr the case neck. However, as long as you keep a sharp cutter in the tool, it leaves very little material that needs to be removed. I accomplish this by just tumbling the sized and trimmed brass in corncob for about half an hour. This effectively removes any excess material. I then take the sized/trimmed/deburred brass to a bench mounted RCBS Autoprime tool and prime it. I prefer this method so I can get a good feel for the primer seating and insure there are no high primers. Sometimes this is difficult on a progressive press.
Only now do I put the brass in the Dillon press and charge, seat, and crimp the rounds. I end up with clean, uniform ammo.
Lots of guys prime on the press. It's just my choice to do it off the press. Once your brass has been swaged, you don't need to repeat this part of the process ever again. FWIW, I reload GI brass 5 times and toss it, figuring I've gotten my money's worth out of it.
