I have winter tires for my Prius in Indiana. Makes a world of difference and I only use the snow tires for a month or two so they last a long time. The recommended tires on a Prius are these low-rolling resistance tires that are downright treacherous on snow.
Our Civic had some premium Michelin tires on it when we got it. They had zero traction in the winter. Slid through far too many intersections and was all too happy to see them go.