@KLM, all a/c, including 737's have tillers on the right, PF does the taxiing even if he is the fo.
Denti, sorry but have to disagree, not all docking centers are calibrated for the left side, plenty of systems which will show an arrow to move left or right. As a matter of fact, I see the old red/green line type docking center less and less.
In case of a left seat calibrated system, the captain will just say to steer a little left or right