When I finally had to admit to needing something to help with the balance, I opted for a walking-pole, convincing myself that this was nothing to do with vanity . I reasoned that it would be less of a strain on my wrist, because I'm not (theoretically at least) actually leaning on it, as I would be with my hand on a walking-stick handle. Nevertheless, my wrist does get rather tired and achey - though the legs generally run (plod?) out of steam first.
Do you have any logical/scientific reason for your choice of stick or pole ?