All my winter beanies fall down over my eyes now that I don’t have hair, just like you described. I found some “skull caps” on amazon that I thought I would use by themselves, but I don’t like how they look. They work well under the regular beanies, though. They keep the hats out of my eyes. I’m not sure if these actual ones are available in canada, but these are what I bought. I also have some nice crafty friends who have knitted me some smaller caps.