Simple if you have DVD burner in the PC.
Select Library, then backup to disk. Feed it DVDs (or CDs but it will take more of them).
On the new computer insert the first disk and it will import by itself.
That’s how it’s done. And iTunes will prompt you to put in a new DVD when the other is full.
Download iTunes on your new computer and “Authorize” it on your iTunes account and you can feed your entire library.
“Select Library, then backup to disk. Feed it DVDs (or CDs but it will take more of them).”
I recommended creating a playlist from all the music but it appears your way is better. I’m wondering if this is a new function in ITunes. I wanted to back up my music a few years ago and my ITUNES FOR DUMMIES said creating a playlist was the only way.