Some opt for upright storage, like a hat stand, so they stack right on it. But my problem with that is you have to take them all off the stand to get to the one you want at the base.
Some people have them mixed loose in a box, but if you're looking for a certain style/color, it can take forever to dig through.
So I store my little collection in vintage stocking boxes. They're satin quilted boxes with six sections meant for rolled up stockings. But they fit bangles perfectly!
So using a vintage shoe holder works great, especially for vintage braziers, which don't have underwires to hinder fitting in a small pocket.
For more storage solutions checkout Scathingly Brilliants latest post on her top five storage solutions for small spaces.