I believe there are a number of tutorials on the internet. You might also check the forums at Audio Asylum or a similar audio web sites as the issues have been covered extensively.
I've converted over 2,000 LPs and open reels to digital over the past 8 or 9 years.
I play my turntable through the phono preamp. The output of that plugs into my computer soundcard line input through a RCA to 1/8" phono jack converter. The equipment can be as basic or fancy as you like. There are also turntables with USB outputs that many use.
I use Adobe Audition to record the tracks, process for any clean-up such as click removal, and then split the recording into tracks. Then the files are saved to your preferred file format. At this point you can burn the music files to a CD, or you can tag them and move them to a music server.
There are other programs besides Audition. They range from free to expensive professional studio software.