At the very least, they need to carry a towel to wrap the bird, some strong tweezers or a hemostat to pull out a broken blood feather (a new feather shaft that will bleed
like crazy if busted) and some
styptic powder for pets to stop any bleeding, usually from a broken toenail.
This should include something to wrap around the bird
like vet wrap, a long towel to stabilize a hurt or broken wing, hemostats or strong tweezers if a blood feather (a new feather where the shaft still has blood in it) needs to be pulled, and
styptic powder to stop bleeding from a broken toenail, blood feather or cut.