Ombraz should be stored in their case, with the cord and beads handing out.
With one hand, squeeze the case slightly to open it up. Stuff the cleaning cloth in the case. Take the Ombraz in the other hand, make sure the cord is all on the up-side of the frames, and stuff the down side into the case. Tucking the beads in can scratch the lenses. Be mindful of the beads!