FIG. 1 is a perspective view of an ornamental design for a razor unit handle design according to the present invention;
FIG. 2 is a top plan view thereof;
FIG. 3 is a bottom plan view thereof;
FIG. 4 is another perspective view thereof;
FIG. 5 is a side elevational view thereof;
FIG. 6 is a front view thereof; and,
FIG. 7 is a rear end view thereof.
The broken lines are shown for illustrative purposes only and form no part of the claimed design.