I can't say the same. I've handled a lot of broadheads in my years of bow hunting. Today's broadheads are not sharp out of the package like they once were. It's been a looooooong time since I've cut myself while handling broadheads. It's not because I am getting better at handling them either.
What broadheads are you using? I'm curious. I've been cut, as you describe.... look down and there's blood. It's been years since that has happened.