I'm having a trouble removing the clearance bulb housing on the front bumper. Any suggestions?

 

just the bulb socket or the whole assembly?
if just the socket, turn counter-clockwise and then pull, sometimes it needs some extra force to twist and remove it.
if the whole assembly, you should remove the bumper, much easier that way on the right side and impossible to do without removal on the left side

 

It's just the bulb socket

 

Yeah, those can be pretty tough to pull sometimes, try the turn and pull method maybe even get some plyers there to help on leverage.
you can get just the socket if you damage it getting it off, so just a $10 part if it is damaged or corroded

 

Are you talking about the front turn signal indicator, side marker bulb or the parking lamp bulbs?