As far as I know there's a way to get your current games on your current pC (the old one) onto your new computer. It requires a cable and that you see a video (I think) on how to transfer the content from your now old computer onto the new computer, you're getting.
As you might now, I bought a new computer in August 2013. I had the shop where I bought the computer make, I think, it is called an image?, of the files of my old harddisk. And then I now have a map named Old Data - very handy, I find.
Anyway, there should be a way to transfer the data from your old computer onto the new one. And also, make sure you have your save files for each game saved onto a usb pen or an external hard drive. [Another way to back up your data].