Those bibs are wonderful! I could also see making some adult bibs for senior homes.
I started out cutting the buttons & saving them, but I found a group of crafty ladies who welcome my extras, so now I just leave them on & cut off the strip they are sewn to. The only exception is if the shirt is especially nice, taking the buttons off & opening the facing gives you a bit extra fabric. I normally cut shirts into 5" charms, but save the back yolk so I have a bit of longer fabric. I agree that deconstructing them really cuts down on storage requirements!
I have seen the cuffs used for cup cozies, and the buttons & button hole plackets incorporated into your quilt. Also, visit this page for pouches made from cuffs (no instructions, but I'm sure you can figure it out from the pics!)
http://www.upcycleyourlife.com/2011/...ou-listen.html