After months of digging through a pile of hair binders, clips, bobby pins, brushes and other hair doodads, I finally organized my drawer simply and cheaply with votive cups from Dollar Tree.
The cups left a bit of a gap in the middle of the drawer that was perfect for my brushes and mirror. The combs are tucked in the front for easy access. I also slipped in the tab from the box of hair coloring I used last time if ever I want to try it again.
I organized my stuff into these categories: bobby pins, hair clips, small black binders, large pony binders, safety pins (not really a hair thing but I had tons), pony beads, bun maker, and misc hair gadgets and combs. I put the ones I use the most up front. The drawer held 8 cups perfectly.
This would also work perfectly for organizing make-up, jewelry, sewing supplies, craft supplies, kitchen doodads...you name it!