I''m still looking for the perfect sieve. I don't have "standard" (if there is such a thing) sized or shaped media. The pins I have are smaller than the ones offered by companies like STM, so even in a fine wire mesh strainer, a few will still pass through the mesh, but they do a phenomenal job on primer pockets!
I rinse a few times, then I'll hand pick my brass out of the tumbler, which I leave full of water. I grab about 5 or 6 pieces of brass, line up the mouths and dunk them in the tumbler a few times, then turn them over. As the water drains out, it pulls any media with it. I'll slowly drain about 90% of the water, so no pins get dumped,then media gets picked up with one of those giant magnets made for stainless tumbling and dumped into a tupperware