Computer vs CD/SACD discs


I am simplifying my system and getting out of vinyl. Actually sold all the vinyl and analog gear already. I was planning on going to computer audio and have been playing with it but really don't see the benefit over just slipping a disc into the tray. I also am getting a bit frustrated by all of the options of downloads, cables, inputs and opinions all over the place. I would welcome opinions thoughts on computer audio vs the old fashioned, putting a disc on the tray and pushing play. ( Streaming, I use spotify, exempted as this is a nice way to demo new music).
davt
Boy, some really great responses. I am going from a primarily analog, ( vinyl ) system to digital. Am working on doing computer but other than streaming from something like spottily I am struggling to understand the value of putting my music on a computer. Also, when I order a CD or a SACD I get a CD or SACD that is mine to do with what I want. When I get a down load I am far more restricted in what I can do with it, trade, sell etc, And the Cost is about the same. Perhaps I should look at a good stand alone player that also can be used as a separate DAC like an Esoteric k-05 or K-03.

Again, thanks for the responses.
I tried that route and built pretty hefty computer audio with HUGE bank of high-def downloads, great DAC with only difference that I did NOT sell my analogue setup!

Regardless of all that, I still listen to vinyl 95% and most of the time my computer audio sleeps and not engaged. Not even running stand-by.

So in case if you get tired, analogue will welcome you back for sure...:-)
I have a computer audio setup and still buy primarily used cd's, as high res downloads offer very marginal if any improvement to my ears. the benefit is being able to browse and cue up songs on your i-device without having to get up from your listening chair, create your own playlists, etc. I do still use physical discs for playing back multi-channel SACD's.