Converting LP to digital. Advice please...

Thanks for all the help and advice. I was wondering since I have a CD recorder if I could record onto a CD-RW. Then take the CD-RW and transfer it to my computer and is there a software that will let me add the individual tracks and then transfer it back to a standard CD? Sounds like a lot or processing but maybe the cheapest way of doing this.
If not then I need to look at some of the other suggestions here more in depth.

Alan do you feel that the Click repair does so by narrowing the bandwidth? I just wonder how it identifies the clicks and pops if not by frequency. I would be interested how that affects the final sound.

Alan thank you for the offer but with my crappy speakers on my computer I doubt I would notice.