I am about to do the same thing and was just going to use an rca to mini cable into the sound card. I used to use a freeware program to capture audio since the built-in Windoze sound recorder only did a few minutes at a time.
What software does everyone else use?

Here's their website and some demos: http://www.enhancedaudio.com/reservoir.htmIf they are very precious and you want to remove/restore them to a much higher quality, there is a restoration program called DC6, there is now a DC7 out, that makes recording and a clean up of unwanted hum, hiss and other unwanted noise. Do a Google on it. Tracer Technologies carries and promotes the product.
Creative Sound Blaster? Don't bother. That company has been all marketing since the early 90's. Their performance is outright lousy, provided you can get stability from the drivers in the first place.
BY ALL MEANS AVOID using the internal motherboard sound chip!!! They are well known to be unbalanced, noisy, and irresistible to interference.
If they are very precious and you want to remove/restore them to a much higher quality, there is a restoration program called DC6, there is now a DC7 out, that makes recording and a clean up of unwanted hum, hiss and other unwanted noise. Do a Google on it. Tracer Technologies carries and promotes the product. I use it on both tapes and LPs and record them as wave files for playback from either the computer or via a CD. Sound much better than the commerical CD version of the same media. Watch the product, you can catch it on sale, I did and got a pre amp with it for half the normal price. This will allow you to come directly out of your turntable and rigt into the sound card of your computer. Check it out. I hope this helps you in making your decision.