Store your rigs the same way that Sabiki rigs are sold. Take a piece of cardboard from your latest Amazon purchase.
Cut it into a 1.5″ by 5 or 6″ piece.
Cut 1/4 to 3/8″ slits on each side about 1/4″ apart.
Wrap your rig. If you have hooks installed lay them on the cardboard as you wrap the line over them. They don’t last very long but they work well for me. If you tie a rig with line or hook that are not your normal you can mark the cardboard.