I had gone to Leh this February to experience Ladakh in winters. I went with 14 other people with this group called Streets of India. Here is a list of places we covered and what you could do to just get an idea.
DAY 1: LEH
Everyone is advised a day's rest when you land here due to the altitude. And it is best if you do rest for a day and not start moving the very day you land. You will get to know how your body is adjusting and it will give you a good idea on how to move on the next day. We stayed at hotel Sia La. It was perfect for the cold winters.
DAY 2: Magnetic Hill, Confluence, Lamayuru Monastery