Time for a new PC

So its time to buy a new PC, my current one is (get ready to say wow that's old), a 200Mhz pentium, purchased circa 1995 (say it now). Buying a new one is not the problem. The problem is offloading the data from the old girl. The CD-burner died about six months ago, and I have no zip drive or tape backup. I figure I have about 6 gigs of data that I want to keep. What I may try to do is to remove the dirve from the old one and try to hook it up to the new one, I have no problem opening the case and puttering with it. Maybe I can buy/get some USB/Firewire transfer utility. I just hope the old girl can last a few more weeks.