No matter what kind of socks or shoes I wear my feet are always cold
You need to get your blood circulation going. Friction causes heat. As long as you are moving, you will get all body parts warm. You could march in place for a minute, this would definitely help. If you think you need to march longer, then go for it. But find some kind of movement that you are comfortable with and get into the habit of doing it to prevent cold hands/feet, etc.