Catrin, so sorry you're still dealing with all of this!

Couple of stability suggestions for icy mornings, I bought and wore these my last three winters in Illinois and they were lifesavers! http://www.amazon.com/Stabilicers-Or.../dp/B009ZPVZRI Strap them on over your boots and you could tap dance on ice; our mail carrier wore them and I figured if they worked for an eight hour outdoor job they should work t get me to and from my office.

Also, maybe try hiking poles instead of a cane? Mine came with cool rubber non slip tips and they seem to offer better stability than my cane did.