Usually just the basic pop, click, and such. Adobe Audition happens to have a variety of filters for audio restoration.

For clicks/pops, I suggest ClickRepair. It's probably one of the finer automated ways to clean up those noises.

I also use an external sound card to minimize noise from the PC case. EMU 0202 by Creative. It does 24/96 easily. In my recording line I have a custom tube pre-amp for the assist. Let me see if I can dig up some links for you.

Just a heads up....when it comes to pristine vinyl. The grooves can hold junk that won't show up on the surface even if they've been kept hidden away. A good brushing and Gruv Glide II can even help things out....this is just an fyi.