I too have ALL the ORIGINAL Beatles recordings ever made including interviews put on Vinyl. 37 is the number of original recordings.
Yours being on CDs, I suggest a very simple solution. Watch Craigslist to acquire a Marantz AV reciever. I speak from ACTUAL experience, I have 2. One a Marantz SR7001 the newest one i have. Also have a Marantz SR7500. Both a tad over 100 watts per channel of REAL power. I haggled a GREAT price for them. They normally can be had for $100, ( those things were OVER $1000 when new ) since most are lacking the remote ( about $50 to replace ), 87 page owner's manual ( free download ), Radio antenna, and set up microphone, the set up microphone is almost a MUST HAVE. The only way to get the multitude of setting right. Otherwise you could spend MONTHS, and not ever know what that amps can do. ( about $40 ). So if parts are missing, haggle !
Now for a nice CD player, go to your local Thrift Shops. Here CD players go for $10. For that, I picked up 4 to see which sounds BEST. You can also pick up the interconnects at the Thrift shop to connect the AV receiver and CD player.
Speakers are likely the expensive part. I happened across a set of Paradigm Monitor 3 s for $100 to use on my first set. ( Again, with haggling i got a REAL bargain )
This set up ( the higher end Marantz receiver, if you pay attention, does have the "Pre Amp out" feature ). So as you grow, and gain appreciation for your EXCELLENT sounding system, you can later add external amps to "Power up". I have a Yamaha, an Onkyo, and a Pioneer, believe me, You want the Marantz. The others do not even compare. The Maratnz has superior headroom, dynamics, sound stage, and imaging, just overall AMAZING sound quality for an integrated amp.
Here is a set much like I have. Notice the basis IS the Marantz AV receiver. : )
You can also hook your puter up to the Marantz to have some added volume. Notice the video, a computer, is the source. AHHhhhh, the sound is SO NICE ......
https://www.youtube.com/watch?v=8QefUxgiCO4