I claim the ornamental design for the baby handling device, as shown and described.
FIG. 1 is a perspective view of the star shaped pillow of my baby handling device;
FIG. 2 is a front side elevational view thereof;
FIG. 3 is a left side elevational view thereof;
FIG. 4 is a top view thereof;
FIG. 5 is a right side elevational view thereof;
FIG. 6 is a back side elevational view thereof;
FIG. 7 is a bottom view thereof;
FIG. 8 is a perspective view of the front side of the flexible cover for the star shaped pillow of the baby handling device;
FIG. 9 is a perspective view of the back side of the flexible cover for the star shaped pillow of the baby handling device;
FIG. 10 is a perspective view of the front side of the flexible cover with the star shaped pillow inserted in the cover, the star shaped pillow and the cover comprising the baby handling device; and,
FIG. 11 is a perspective view of the back side of the flexible cover with the star shaped pillow inserted in the, the star shaped pillow and the cover comprising the baby handling device.