Thanks Ed. I thought you meant create the playlist in the folder then drag the 'Apple Music Playlists' into it. That didn't work. So are you saying that I need to recreate each 'Apple Music' playlist in the folder and drag all the songs into the new 'personal' playlist?
If that is the case it seems like a lot of extra work, but can be done. I tried it out and it worked. Only thing is the artwork turns into a mixed media image (which is usually OK) but doesn't bring the one from the original 'Apple Music' playlist (which sometimes I would prefer).
For 'personal' playlists and 'Genius' playlists they can both be moved around into different folders. It seems remarkable that you can't do the same with 'Apple Music' playlists (created by Apple), or other peoples Apple Music Playlists. (shared with me).
Thanks again for responding.