I would think that this the proper time of year for this idea.
Here is a couple of pics, of some metal strips I put on the back steps.
I found the strips at the
local hardware store. They were made as shelf brackets, They have a "U" shape. I cut them in half and nailed them to the steps. They only go part way across the step so they are not a problem when it is dry. I have found that even when you sweep the step there can be a thin layer of ice. (ask me how I know) And one broken bone can ruin your whole day.