Hi skookum2,
In order to download music to your device so that it can be played without a network connection, follow the steps outlined below.
- In the Music app, find the item that you want to download.
- Tap the More Options icon
to the right of the song, album, or playlist name.
- Tap the Download icon
to the right of the item's artwork. If you see a
instead of the download icon, the item isn't in your iCloud Music Library. Tap the
to add the item to My Music, then tap the download icon to download the item to your device.
Songs and albums appear under My Music > Library. Playlists appear under My Music > Playlists.
Add music from the Apple Music catalog to your library on your iPhone, iPad, iPod touch, Mac, or PC
https://support.apple.com/en-us/HT204839
All my best.