I like the drip pan on the bench idea.
For small parts, I use an organizer. I like the Milwaukee ones for $20 because the bins are large enough to hold some decent sized parts. They are also water tight if you find yourself using them to bring stuff to the track, etc.
https://www.milwaukeetool.com/Products/Storage-Solutions/Plastic-Storage/Organizers/48-22-8030
If use the cheaper ones from Harbor Freight as well.