Best begining of Feb. or end? Probably will be going to visit the wall.

There is no much difference, Tammy. You go there in the low season. It's winter time. So it's cold on the wall. Perhaps, you may see snow on the wall if you are lucky. So I think you should wear thick clothes, such as long jacket, overcoat, thick sweater, warm clothes, gloves, hat and scarf when you go there. More importantly, please wear a pair of comfortable sports shoes. Therefore, you won't be worried of falling down if there is snow.