Hope you didn't injure too much other than your pride.
Futtocks suggestion is probably not a bad one. I don't tend to walk that much in snow and ice on pavements, it's more over foothpaths and fields. After landing on my backside on some snow covered ice a couple of years ago whilst out on the moors, I meant to buy a set of microspikes for walking, but haven't got round to it yet. These probably wouldn't be so much use on pavements though.
The Ice Runners that I have are fine on ice and snow, whatever's underneath. They do feel (and sound) odd when you have to cross an area that's not affected, like under a bridge. When there's only a patchy covering of ice, it's better to walk without them.
An elderly friend, who's had a stroke and is a little unsteady at the best of times, bought a pair, and it means he isn't trapped indoors when the weather's bad.
Johnny Cash on why he wears black: "I wear the black for the poor and the beaten down, livin' in the hopeless, hungry side of town, I wear it for the prisoner who has long paid for his crime, but is there because he's a victim of the times."
Kinky Friedman on why he wears black: "So I don't have to wash my clothes as often."