I use both as well (if you can afford it, buy 2 tumblers, one for each) I use the walnut, with jewellers rouge for cleaning, and the corn cob for polishing. There is a liquid that you can buy for the corn cob help it polish better after time. And just to be cheap, I have "wash" some old corn cob in the past, let it dry in the sun, and added some of that liquid, and it worked great...
Also for rifle casings that have been sized and are all gooey, I wash them in solution with Birchwood Casey's "Brass Cartridge Case Cleaner". Works great, takes the sizer off, and they come out nice and shinny. The only pain is making sure they're good and dry before reloading ( I use the oven for that)
Cheers
Dean