The bucket that I look thru most is lined with an old towel. I pick the parts containing towel out of the bucket by grabbing the 4 corners laying on top. Open the towel by laying it out on the workbench. Get whatever parts I need and pick up the towel of stuff by the 4 corners and drop it back in the bucket. The only guy that I know who has a better method bought an old roll cab at a garage sale and sorts his loose fasteners and stuff in the drawers. If he wants a metric machine screw, he opens the marked drawer. I bought one of those 40 bin plastic parts things on sale to keep the stuff that I want to find quickly but not often. Thus, my salvaged woodruff keys and little set screws are found in those drawers and not with the usual clutter in the towel lined bucket.
"beware the grease mud. for therein lies the skid demon."-memory from an old Honda safety pamphlet