Your private storage space, or home directory, will be on the H: drive when you open the "My computer" icon on the desktop (capped at 5GB). (looking at increasing the size will post the new cap once it's decided)
To place files in your home directory, simply drag them into your H: drive. (Also, any shared space you may have access to will be on the S: Drive; your instructor should inform you if this space will be used for class. )
You are responsible for maintaining your network storage contents.