An IV-pole base has at least one blank and one complimentary tab formed on sides thereof. By one approach, this base comprises, in effect, a jigsaw-puzzle piece that can fully interlock with other such bases in a substantially tessellated manner. So configured, a plurality of IV poles having such a base are easily interlocked with one another to facilitate moving that plurality of IV poles from one place to another. By one approach, the aforementioned blanks and tabs have a substantially circular shape. As one illustrative example, the base comprises a square having two blanks and two tabs, with one such feature formed on each side of the square. By one approach the blanks are formed on sides of the base that are opposite to the tabs.