Mouselock movement

I'm trying to replicate mouselock in hopes of avoiding the camera glitches that come with mouselock. I have the camera set up, but I do not know how to get the player to move side to side as opposed to facing left or right then move.

character:TranslateBy(Vector3.new(0,0,0))

http://wiki.roblox.com/index.php?title=TranslateBy_(Method)

Warning: TRANSLATEBY WORKS LIKE CFRAME AND MAY MAKE IT GO THROUGH PARTS