The ornamental design for a personal careproductcontainer, as shown and described.
FIG. 1 is a perspective view of the personal care product container;
FIG. 2 is a right side view, the left side being a mirror image thereof;
FIG. 3 is a front view thereof;
FIG. 4 is a rear view thereof;
FIG. 5 is a top view thereof;
FIG. 6 is a bottom view thereof; and,
FIG. 7 is a perspective view of the personal care product container in an opened position.
FIGS. 1-2 and 7 show portions of the personal care product container in broken lines. The portions shown in broken lines form no part of the claimed design.