I size and deprime all my brass on my RCBS Rockchucker, then clean the primer pockets and prime on my Hollywood press. Then I run the primed and sized brass through my Hornady Pro-Jector, minus the sizing/decapping die. This ensures me that all the brass has been prepped to my satisfaction. Those are extra steps, but it satisfies me to know I've done what I feel necessary to make the best ammunition I can. This process is for large runs. For small runs, then I'll just load them on the either the Rockchucker or the Hollywood, depending on what it is.
Hope this helps.
Fred