PS Audio Phono + Sony HAP-Z1ES

I guess I am trying to understand how one can make digital copies of LPs. 10 years ago I had an Alesis Masterlink and it was a simple matter to run the analog signal into that device and it would store it on the hard drive and I could play it back at whatever sample rate I chose to record at.

I sold it because I was not very serious about archiving my vinyl (and eventually getting my collection down to a manageable number). I would assume there is something like that out there with a terabyte of memory and a better means of organizing the files. This is what I thought the Sony device could do.

Not sure I understand the difference between the Sony HAP-Z1ES and a regular computer with music software.

I thank you for responding despite that I do not quite understand how to proceed.

The PS Audio NuWave phono is an A/D converter. Why would I need to get another one? This is what I do not understand.

I'm sorry to be so persistent but I am trying to understand this process. If the analog signal has been digitized into a high rez DSD or PCM by the PS Audio Phono converter, what kind of machine do I need to convert this data stream into a music file that I can access for playback. Obviously somewhere in the chain we need a DAC.

If someone could just outline in a chart the stages that we need to go through I might understand it better.

I'll start here (as I understand it): Phono signal - A/D conversion - DSD or PCM (all accomplished by the PS Audio Phono) - ???something to process and put the data on the harddrive - DAC - Audio Preamp - Amp - Speakers.

What sort of device is the fourth stage (I realize it is a computer but what soft ware is needed to make it work).

Is there a freestanding device that will take the DSD or PCM stream, process it and put it on a hard drive AND function as a DAC so I am looking at two boxes between the turntable and the preamp. This is what I thought the Sony would do but I now understand why it will not.

This is what the Alesis Masterlink did for me 10 years ago.

Is there nothing like that out there like the Alesis that has more storage and organizes the music better?

Thank you all. I think I've got it now. My only comment is it seems as though the digital market place needs a device that will process and organize a DSD or PCM file, store it on a hard drive, and include a DAC with an analog out. Maybe this would be too complicated for a one box device.
Again thanks to all who responded.