heres how you start josh (you might have to figure a few things out on the way so ask if you are stuck):
Go into your old computer, and in Windows Explorer or My Computer, right click on C drive (or whatever drive your files are on) properties, sharing tab.
Enable sharing, name the drive whatever you want, but enable full permissions (read, write, modify).
go to your new computer and go to “My Network places” find your old computer on the network, go into it. Find the harddrive, double click on it. And you can copy files over to your new computer via network.