jamm8 wrote:
Renting music is a ridiculous option.
The choice is yours. The Apple Music streaming service is no different than Pandora or Spotify. You only get access to the songs while you have a subscription. The obvious benefit is that you can listen to any of the 100 million songs at any time. It is far more economical for many users who would rather have access to this vast library, then purchase the songs individually.
Of course if you are only interested in listening to the same songs on a playlist, you should not be using a subscription service and purchasing the songs is the way to go. The songs you find in the iTunes Store are provided by the owners on the songs and they are the ones that choose where they want to sell their music. Apple is not purchasing the music for the iTunes Store and the songs you see there are provided by the owners of the songs, not Apple.
If you are having trouble transferring your CD's to the iTunes Library, then review this Support Article.
Import songs from CDs into Music on Mac - Apple Support
For assistance in redownloading the songs you have already purchased, review this Support Article.
Redownload music - Apple Support
The one thing you cannot expect from Apple Music or any other streaming service is to be able to download as many songs as you can while you have the subscription and continue to listen to them if you cancel.