Throw away the old bandage. If it is bloody or you have infectious drainage seeping from your wound, you may want to wrap the bandage in a plastic bag before disposing of the dressing. Putting bandages down the toilet is not advisable as most types will clog the plumbing.
Pets can be drawn to soiled bandages, so if you have a pet you may want to dispose of the bandage outside or in a container with a lid.

