My Dad’s been figuring out how to convert his music records to a digital format, since his stereo no longer has a turntable. The post has an article title Digital Transformation Revives Old Records which mentions the Audacity software project.
You can also use a free, open-source program, Audacity (Win 95 or newer, Mac OS 9 or newer, Linux, audacity.sourceforge.net). This is rougher sledding: It can’t split tracks automatically and or save songs in MP3 format. You can fix the second shortfall by downloading a separate MP3 encoder, or by saving each song as an uncompressed file, then converting it into MP3 format.