Help !

Easies would be to buy something like the bluesound vault 2i. It has built in storage, streaming ability and DAC all in one unit. outputs in digital or analogue via RCA.  

NAS  harder but has some advantages in larger potential size and better backup of data. also can move to any system that supports a DAC-streamer.  NAS (network storage device) with built in back up. then hook to your computer. using the disc drive in your computer and ripping software load your CD's onto the NAS. this will be time consuming. 
https://www.dbpoweramp.com/ is a very good software system for coping your CD's.

 A NAS will need a computer or a streamer-DAC to use. 

The Bluesound Vault is stand alone one box solution and may be the easiest as you just plug the RCA output into your audio system RCA inputs. the Vault also has a disc drive built in and the software. so just slip the disc in and it copies it to the internal hard drive. 

. Aurender is another similar system but more expensive. 

 I'd copy in FLAC if using the NAS or Vault. 

https://www.bluesound.com/products/vault-2i/

Hi Schubert,
Let me try to supplement glennewdick's good advice.  I use a 500 gb portable hard drive plugged into my computer as my NAS.  It easily holds my 750 CDs that I ripped to FLAC files, but you should research the appropriate size of the NAS.  Portable hard drives are relatively inexpensive these days.
I used dbpoweramp, which I liked, and it seems to be the ripping software of choice.  But free downloadable programs, such as Exact Audio Copy, also have their advocates.
I agree with glennedick that if you need to buy a streamer-dac in order to playback what's on a NAS, the Bluesound Vault may be the easiest and least-expensive solution.
It'll take you a while to rip 1500 CDs.  Once you're done, donate them to your local library.  Depending on your situation, you may be able to claim a tax deduction.  Even without a deduction, it'd be a good thing to do.  Of course, you could find a buyer for the CDs and recoup some of your costs, which would also be a good thing.
Good luck.

I recommend you to try Cocktail Audio X12 or X14 to rip and store it.

They have rippers in it and very compact not taking much space.

http://www.cocktailaudio.com/#

https://www.amazon.com/Cocktail-Audio-Ripper-Server-Streamer/dp/B00NW9B51E/ref=pd_lpo_sbs_23_t_0?_encoding=UTF8&psc=1&refRID=6KHT61D6GJY5ASHWJ7K7

https://www.ebay.com/itm/COCKTAIL-AUDIO-X14-60-watt-stereo-integrated-amp-BT-net-player-AUTHORIZED-DEALER-/132942930793

2T hdd will be more than enough to store all of your CDs

I had been using X12 for 6 years with no problem.

It is still working fine.

Recently I switched to X30 with 2 T SSD which sounds comparable to Jay’ Audio CDT2 MK2.