I started with a dry tumbler and it worked fine, but for shiny, like new brass, stainless pins in a wet tumbler is a miracle. It also doesn't have all that dust in the air. So now I use both.
When I come home from the range, I dump my brass into a bucket. When there is enough to justify a tumbling session, I wet tumble them without the pins. Just hot water and Dawn. This way, they are clean so I don't dirty up my dies. I bought a case dryer from Hornady. When they're dry, I quickly lube and de-prime and expand. Wet tumbling gets them so squeaky clean they need to be lubed. I put them in a bin for another day.
When the mood strikes, it's time for the stainless pins. The pins get the primer pockets and inside of the case clean. Same deal after they're done. Into the case dryer they go.
When they're dry, a quick dry tumble with some crushed walnut and Nu-Finish car polish to slick them up. Then prime them while watching TV and dump them into the bin, ready to be loaded.
It sounds like a lot but it isn't. The tumblers do all the work. Separating the pins is a bit of a chore, but a media separator and a magnet gets them all.
I just like to have shiny and clean brass. I only do this routine maybe 3 times a year on a Saturday. It's no big deal to me.