Digital streaming/library


I have purchased a rather substantial 2 channel audio system, and two of the components are a streamer and an audio nas...a melco. I want to build a digital music library. I would love to have the hd level tracks, but the downloads are so expensive. I already have thousands of lps, and thousands of cds. I have iTunes, and it (and rhapsody) allow you to download tracks into your computer...but they are not cd quality. I have a streamer, and I could get the tidal or deezer hi res subscriptions, but do they allow you to download tracks into your computer/nas drive for a digital library?
128x128easola01
Okay thank you kijanki, but I am wanting to build a library from what will be a boatload of music I do not possess in cd format...music I don't possess and music I haven't heard yet but will while I am browsing my streaming. I am just surprised that, given the fact that one can build a library with itunes and rhapsody, both which are lossy, that there is no comparable way to do the same and build a library in lossless files?
easola01, I'm not familiar with streaming.  My whole library consist only of CDs on HD  in ALAC format.
Thank you for your input kijanki. I must confess, your informed advice is above my head, but I want to do things right. Since it seems I am unable to build a lossless library from tidal or deezer, maybe I will do what cds I have your way. 

So what do I do...are you saying I need to get this audio media, and that alone will convert cds to library from itunes to my storage as 16/44.1? Sorry, I need baby steps here
I rip data out of my CDs using (free) XLD for MAC.  I store ripped data in ALAC format, that is lossless compressed file.