Best way to copy LPs to CD's using a Computer


Please help! I want to transfer many of my lp's to digital and onto CDs. What software programs have you used that you could recommend and what would you suggest as the best way to connect from the integrated amp to the computer to transfer the signal?
128x128jcbach
I second RW's response. Four or five years ago I purchased a stand-alone component, Pioneer PDRW-8339, for several hundred dollars. I have not been disspointed. The unit has made hundreds and hundreds of CD's with audio quality very close to the vinyl source itself. I think that this particular unit may be discontinued, but I have seen them used on ebay for around $150. I am sure there are other similar brands that will also give you good results.
I have digitized hundreds of LPs with an iMic and the free software Final Vinyl. I have had excellent results. I have an Apple G5 and I'm not sure if the iMic/Final Vinyl is PC compatible.
Oregon - you said it! I enjoyed copying my vinyl to CD, as I was listening to new music and getting exposed to it. Make it part of the listening experience!

Goatwuss - I think the best way to make truly hifi reproductions is with an external, USB analog=>digital converter, like the Apogee.
The pain-in-the-butt factor is purely personal preference, and if I have the record I don't see much reason to digitize it as I would rather listen to the record when I'm home. I have over 2,000 CDs ripped so that is plenty of portable music if I want, not that I do that very much. I have made a few copies of OOP records on CD for friends, and I have some old cassettes of OOP stuff that I've digitized so that is nice, but for me, and that is the key, for me it is generally a pain to do. I've got maybe 3,000 LPs and I'm not going to live long enough to digitize them :>(

As for the spdif comment; the pro converters I mentioned above have USB and/or firewire outputs if that is a concern.

The fidelity from VHS tapes is clearly inferior. Check the specs. If just being analog is the criteria then 8-track is analog too.