|Complete This Town Ain't Big Enough||5||Liar's Berg (Hammerlock; Sanctuary when he moves there)||362 XP, $15, Sniper Rifle/Shotgun|
Hammerlock is missing that extra something to decorate his hat and thinks Bullymong fur will do the trick. In order to get the fur, you will need to rip it off of them with your bare hands, which is possible by weakening them with gunfire, then finishing them off with melee attacks.
It doesn't matter which Bullymongs you go after for this, so you don't need to go to the waypoints provided by the game. Whenever you start collecting the fur (it drops as an item you need to pick up if done right), Claptrap will chime in and offer you a shotgun if you bring them to him. Hammerlock will reward you with a sniper rifle, so once you collect all four furs, bring them to whoever you want to finish the mission.