I get a high shine on my bronze pieces as I do anything else in my
tumbler. I run it through a medium grit plastic media, then a fine
grit plastic media & then the stainless steel shot (which, like
yours, is a variety of shapes). I fill the drums up about 2/3rd with
water & add some dish detergent. I usually tumble for a few hours in
each grit & then maybe an hour or two in the shot. After I’m done
tumbling, I drain the liquid, rinse off the media & let it it air
dry on some paper towels.
Hope that helps!
Metalsmith, Artist, Chaos Magnet