Sending to Buyer through Computer Gallery

I am thinking about using Computer Gallery to ship some software. Should I have them ship it to me first and then I will ship it to the buyer or should I just enter the buyers name and address to have Computer Gallery ship it straight to them. Do they send a thing in the box that has the Billing Information? Because I dont want that. I don't want them to see my information.
Thanks.

Just have CG ship to your customer as it will save you time and money. They do have a dropship section so they will use your name/address as return portion.