Apple music songs cannot be copied to an iPod

If you have subscribed to the Apple Music service this gives you the opportunity to stream, or downloaad for offline listening, songs from a huge library for a monthly subscription. Songs downloaded this way cannot be moved to any other device nor listened to if you stop the subscription. This is because if you could do this you could download a huge number of songs in one month, stop the subscription, and keep the songs - which is obviously unviable.

The only songs you can copy to your iPod are ones you actually bought individually in iTunes/Apple Music, separately from the subscription.

You can keep, and copy to your iPod, songs you actually purchased: obviously you're not free to do anything which would contravene the copyright in the songs such as publishing them on a website.

If you stop the subscription any songs you downloaded within the subscription will stop working and may well disappear. While you are subscribing you can download subscribed songs to another device which is signed into Apple Music, obviously as long as that device can connect to the internet (which therefore precludes iPods other than the Touch).