Recover music I downloaded to old PC

I have an old PC that I previously downloaded songs to from CDs that I owned. These are not purchased songs. They are synced to an old iPhone 4. Now I have a new laptop and new iPhone. I can’t remember the Apple ID password for the old computer so can’t seem to get the music off the old computer to my new laptop. I already accidentally overwrote my iPod Shuffle by trying to sync it.

How can I best recover the downloaded songs from the iTunes account on my old computer? I still have the same Apple ID but I reset the password years ago. I since have added another phone and a tablet under the Apple ID with the new password. I’m afraid that if I use “forgot my password” on the old PC to get my songs off, that it will wreak havoc on the rest of my Apple devices.

I’m looking for suggestions. I just want to get the 200+songs from my old computer on my new phone.