I inherited quite a few loose bits with a router I bought what I did was this:
Got a segmented hobby/craft container from home bargains (£2)
Got a short length of copper pipe and some of that rigid'ish foam that computers, electronics etc come in (not polystyrene - see pic below)
Cut the foam into pieces that fit sideways in the sections of the box, and in each piece of foam push and twist the copper pipe into the face of it twice to make two holes - each hole will take a 1/2" cutter and the foam stops them banging together.
The foam in question is known as Kaizen foam but it's relatively expensive to buy - if you did though you could just punch holes into a sheet of it to stand your bits up vertically in a box.