I've tried various methods for scrap control. I've decided that I don't like having to deal with little bits and try to not keep anything smaller than a 6.5" square but sometimes the little bits hide! Fabric larger than a fat quarter gets kept in the stash according to color or style. At some point it gets cut down to a 6.5" strip and the rest discarded. I keep a box on my cutting table and put the rough end trims, the bits and pieces that are too small for me into the "crumb" box and when it is full, I send it away. That person can further edit down what I have sent.
I've spent years dealing with strings and uneven ends, I feel I have explored that sufficiently
While some people really like the idea of 2.5" strips, I realized I could do nothing but work with them for the rest of my quilting career and it sort of scared me...
When I am given a bag of scraps (or bought one from the thrift store) I am pretty ruthless on removing anything "non quilting". If it is good stuff that doesn't suit me, I try to find a new home, but if it is little scraps of whatever I don't mind throwing it out and reducing the load. In the Seattle area we had handy textile recycling and some non-quilting things ended up there instead of the trash.