Nero has a great audio correcting program, I think it is their wav editor. You need a decent quality turntable with an output that you can feed into the computer.
http://www.crutchfield.com/S-4bj1IGCVpPu/cgi-bin/ProdView.asp?g=10500&id=essential_info&i=156PSLX350
Basically, you need the adapters to convert from RCA to the small input on your computer. The better the connections, the less noise involved. It sounds like you have the equipment. I used the program I mentioned above and filtered out the audio noise afterward and some of my LPs turned out fine. But if the CD is available, it is sometimes cheaper than taking the time to convert.