You could buy an external harddrive. This would plug into your USB and appear as a new hard drive on your computer. You would be able to copy and paste to that, and plug it into your new machine where you could do the same. They are also handy for backing up data, storage etc.
http://www.dabs.com/productview.aspx...ationKey=11157
http://www.dabs.com/productview.aspx...ationKey=11157
Rob