Apple Music Profiles

I was wondering if it is true or not that you are able to set up multiple profiles on Apple Music. My family and I currently have family sharing set up, but I am still on the organizers Apple ID on Apple Music. I get all of the music and recommendations that the organizer likes which I have heard is not supposed to happen. I would like to know how to solve this problem and create my own profile with my own playlists and downloads. I have tried signing up under "Media and Purchases" in settings with my own Apple ID, but it doesn't give me an option to set up a profile, it only says I need to purchase Apple Music subscription. On my devices, I have my own Apple ID, but I am signed up on organizers Apple ID for App Store, arcade, music etc. I would really appreciate the help to see what I might be doing wrong and how to solve this problem.