A trick I almost forgot about, that is really handy for repairing small plastic things temporarily. (I've used it for the wife's eyeglasses)
A tube of super glue, and a strip of an old T-shirt - cut a strip big enough to wrap it around the broken plastic part, and soak it though with super glue. The wrap it around said part. You end up with something similar to fiberglass when it dries.