Oh, and if anyone has any recommendations for products that will stop bleeding?
Quik Stop or another styptic powder is generally what I would recommend, although my avian vet did suggest (and actually use) superglue on a beak injury. A cockatiel at the store somehow broke the tiniest tip of his beak off and he bled like a stuck pig. Of course it was the weekend and he was closed but we called him up at home and he told us to wrap him up in a towel and apply superglue to the tip of the beak after wiping it as clean as we could. The bleeding stopped and once the glue came off it was all healed up.