I keep my everyday hooks in a plastic case that came with my set. For hooks that Ive acquired individually over the years, like the bone hooks or my grandmothers, they are in pen holder sleeves in a pen holder portfolio. The rest are all stuffed in a large stiff flat bottomed pencil case. The case can sit upright on my table without falling over.
I keep my hooks in relatively large cosmetic bag, and keep that in a satchel that also holds all of my other knitting and crochet tools (knitting needles, hooks, tapestry needles, etc.). Though its reaching a point where I might need a bigger satchel, LOL. :$