It is important to wear insulated high boots that are really warm.
Jacket / pants
It is important to wear well insulated jacket and pants, that stops the wind to get through. For longer trips than one hour, you might need even warmer clothes.
Gloves and cap
You need a warm cap that covers your ears, preferably a hood on the jacket too. Wear well insulated gloves that are warm – not fingergloves.
If it gets windy and start to snow it is good to have skiing glasses and a thick scarf/muffler to cover the face, especially for children.