If you live in an area that has real winters, you need to have a winter-approved tyre mounted on your vehicle. This is true both for passenger cars as well as SUVs. Summer tyres are not meant to be driven when the temperatures drop below zero. The rubber in the tyre becomes hard and loses grip. This means that they are not safe to drive with.
You will need to get a set of winter tyres and if you have an SUV, you need a set of SUV winter tyres. You do not want to try driving with tyres that are not meant for winter, when you face snow, slush or ice. You will not get very far.