different accounts for Apple Music and iCloud

Hello,

I use one apple id to sign to Itunes and another to sign into Icloud. I have an Apple Music subscription which I would like to use to save music on my phone. This seems to require activating the Icloud library, but that one is attached to a different account, as I mention. Would anybody have an idea of how I could save music from Apple Music on my phone in a different manner, or how to solve the issue I described?

Many thanks.