Welcome.
As you probably know by now, Apple Music isn’t well supported by the audio equipment manufacturers and for good reason. Apple’s move to better quality streaming is pretty recent. If products haven’t yet manifested, they probably will at some point. I only use Apple to stream through my watch when I leave my phone at home. Quboz is what I use for streaming. Whatever you do, go used to keep costs down. That most likely would mean letting go of your attachment to Apple.