I had to break down a case (1,000 rds.) of 43 Spanish ammo and did it with a pair of lineman's pliers that had a hole drilled and polished to .430" (.433" bullets) in the wire cutting part of the pliers and used the same procedure as Vall, otherwise. The bullets were marked somewhat but the marks went away when I sized them to .425" for 45-70 level lead bullet loads on my .404 Jeffery.
Salvaging primers can be scary. My friend Gene was de-priming 45 ACP cases many years ago at Ft. Hood with a punch and hammer to salvage the primers when one detonated and damaged his thumb. He went to the emergency room and had it bandaged and went back home to continue the task when another one detonated. He didn't say how he explained that in the emergency room. I can understand salvaging primers but be sure they are not crimped in or take other precautions.
When I use a collet puller, I slightly close the collet and raise the cartridge until I feel the neck hit the collet and then tighten it, before pulling the bullet. Using this procedure I seldom have a bullet slip in the collet.
Mike