My daughter has a tendency to break umbrellas, which I have gotten quite handy at repairing. Actually, I’ve gotten into the habit of packing her off in a raincoat instead, but she still likes to have an umbrella, which she will eventually break.
If it is a tear in the covering, then I mend it to the best of my ability and give it back to her. If it is the frame that breaks, then I set my husband to gluing it back into working order. If all else fails, I cut the covering off the frame, keep any loose and useful parts, and throw the frame away. Potential projects include the obvious rain poncho, but I think the material is sturdy enough to make nice shopping bags too.
Any other suggestions would be helpful, and I’ll post pictures once I get around to it.