I keep a galvanized bucket for all my pick up brass. I use a Lyman universal deprimer while sorting cases by bullet diameter. All bottle neck cases go into a sonic cleaner for a preliminary wash while straight wall cases go directly into the wet tumbler with stainless beads and Lemishine. Once the bottle neck cases have dried a few days I size and trim them and they go into the wet tumbler for a final clean. Sonic cleaned brass and wet tumbled brass are dried in separate locations. Once the fully prepped bass is clean and dry I store the cases in canisters labeled by cartridge.
Long story short, I deprime and clean prior to sizing. It’s more work but I feel better about it.