How I would do it, get a strip of wood, put in holes/slots, then fasten it someplace handy, maybe the wall, maybe on the inside of a cabinet door. Or, just use a pouch, with separate chisel pockets. My personal favorite is the pouch, then lay them all out where you I quickly change chisels.
"It ain't what you're told, it's what you know." - Granny Weatherwax
Of course I'm not busy, I did it right the first time.
Call me a craftsman, artisan, or artistic, and I will accept that. Call me an artist and you will likely get a quite rude comment in return. I am not a @#$%ing artist.