As someone that has moved computers many times, Dropbox has essentially been an invaluable tool for me in transitions, and ongoing between laptops and desktops . If you are not using it then you are missing out. I have moved my entire documents folder there and pile in as much as I can. As I earned more and move free space I piled in pictures and everything else. On the new computer all you have to do is install the software and login, then bam, your stuff starts downloading and remains sync'd even if you use a laptop and a desktop. For email I use IMAP so my mail is everywhere too.
Shamelessly dropping a referral link here for Dropbox. I will get free storage and you will actually get free additional storage too I believe.
http://db.tt/fJUc1wS