One other important thing when walking in snow/ice is that even the smallest slip can potentially strain/pull a muscle just due to the rapid movement.
Dogs are a great motivator and pretty good companions if you like them/can swing that...
A pole by itself is pretty useful though for occasional ice. It gives you that extra purchase and balance even if you're just in shoes.
When I’m wearing them I never slip and just carry on as if there was nothing slippery underfoot.
The only thing you have to watch out for is remembering to take them off if you go inside where there’s a hard floor such as tiles or wood, otherwise you’re going to fall over immediately. Coming in from a walk I’m taking my shoes off anyway, so it’s hard to forget.