I have a first person player using mecanim animations set up to give realism to the walk movements. (the camera is set to the head bone of the model) But how can I also allow the camera to move around when the mouse is being moved around (mouse look)? and how can I do this?
I just wrote a bunch and then realized you’re asking different question than I read! 
I’d check the 1st person tutorial project. Chances are the scripts do mouse-look already.
If you attach a mouse-rotate to the character, and the camera is attached to the head, it’ll move too.