I have a Tascam CC-222 burner in my stereo rack which is
designed for this very purpose. It has a cassette bay in it,
and also RIAA phono inputs.

I generally record one side of the album onto a track at
first, ending up with two tracks. I then extract that to a
.wav file (which is lossless) and use audacity to clean up
all the vinyl noises and split it into tracks (individual
WAV files). I then convert that collection of WAV files into
a standard audio CD as well as any MP3's that I want.

The Tascam has 'features' to find the separate tracks but
I've disabled that because it sometimes guesses wrong on a
quiet passage.