Long Sleeves in Winter

Does anyone have some good suggestions for a product (to either wear or put on the wheels themselves) or sleeve folding/rolling technique that helps keep your long sweater or coat sleeves out of the way/clean and protected when using a manual wheelchair in the winter?

I don’t want to just NOT wear long sleeves because it’s far too cold to not have something, but even tight sleeves get dirty/rub on my chair wheels.