I would recommend that you consider getting a Wiim Pro Plus. Even if you don't want to stream from the Internet, it would offer two advantages for you.
First, you could access any/all music on your PC. Much like iTunes, you can see all of it, with album art and other metadata, and search by artist, genre, etc. You can play, pause, skip...all of the usual controls. You can even control volume.
Second, you can connect your CD player's optical output (if it has one) and use the Wiim's excellent internal DAC instead of the one in the CD player.
And, if you ever want to just give streaming from the Internet a try (there's plenty of free music out there.
But, there are several caveats. All have been mentioned, but to reiterate:
1. You need a local network, which I would bet you have.
2. You need a device to serve as your remote control.
3. To connect the CD player, it must have an optical output.
Alternatively, just stick to you iPod and CD player, and if itching to try a DAC get a Modi for the CD player. You have 30 days to return it via Amazon. Not sure how long if purchased directly from Schiit.