New to forum - been there done that.
My advice is get that press and a decent set of dies. Lee are fine for single stage and they will get most of the bulges out. I think redding does a good job also. They just dont work well with prgessive presses. Carbide ring radius is less than other manufacturers and the cases will hang up on the ring ocasionally.
As someone else said the Lee factory crimp die will get it out also and they will work with jacket bullets on a progressive press.
I use a forester "sp" case gauge and if one of the case is a little harder to size I check it in the gauge. If I am not lazy or reloading for competition I check every loaded case also.
