Many baby bibs stay on with Velcro clasps. Weblog I'm an Organising Junkie recommends using Velcro tape to store your bibs in easy-access locations so you're always ready for the incoming food storm.
Photo by Rachel
Velcro tape can be found in craft stores. You simply cut the length you want, peel off the back, and stick it wherever you like. Have a bib ready to go on the back of the high chair, or have a few backup bibs ready to go on the inside of a cupboard door.
Toddler Bib Storage [I'm an Organising Junkie]