How to transfer playlists from Apple Music to iPhone?

Hi. I just migrated from Mojave to Monterey, which also means I've moved from iTunes to Apple Music. I'm trying to get a playlist I made in Apple Music onto my iPhone (which is running iOS 16.6). I've been able to copy the music to the iPhone but not the playlist. (NOTE: I have a lot of music and would prefer to manually manage music, etc.)