To transfer your Smart Playlist to any music service you have to first convert it to a classic playlist. To do this simply follow these steps:
1. Open Smart Playlist in the Apple Music app:
2. Select songs you want to move to the classic playlist (you can select all of them by clicking Command + A)
3. Click "File" –> "New" –> "Playlist from Selection"
4. That’s all, a new playlist will be added to your library. Now you can easily transfer this playlist to any music service.