Has there ever been an "official" explanation as to why Boba was hanging around Jabba's palace? You'd think he would be off somewhere spending the dough long before the events in the film.
If a specific price is put on Anakin's or any other Jedi's head in season II, then it's safe to say a bounty is involved.
I can't see any reason a bounty hunter in the SW universe couldn't moonlight doing the odd hitman job or two.
Greedo wasn't a bounty hunter. He was just a clumsy henchman, with incredible eyesight problems added in the special edition. ;)