Is there less precipitation (rain/snow) in cold weather than in warm weather?
In most of Western Europe, precipitation comes from westerly winds formed over the warm waters of the Gulf Stream current that flows from the Caribbean to Western Europe. That is a warm current, so these winds would be warmer and make your area warmer. Besides, as they come from a warm ocean they are moist and carry water vapor and make clouds. Low temperatures are usually caused by easterly/northerly winds originating in Siberia, these are cold and come from land. Cold winds cannot carry moisture and on top of that they travel over land rather than the ocean and are dry. So in most cases in European winter, relative warmth and precipitation go hand-in-hand.