I will start just taping these things into a little nook going forward.

This is what I do, along with any spare parts like screws. Put them in a plastic bag and then tape or staple them somewhere on the underside.

I know right? I was thinking, "wait a minute, why the fuk are all of mine in a combined useless box when this makes so much sense!?" the whole time I was typing that up.

I'm not sure I would trust tape, but why the hell haven't I been keeping the tools in at least the parts that have storage, damn what's delivered?? A separate semi-hidden but easily accessible spot sounds ... so damn convenient on those rare occasions.