Thanks so much for your response. The reason that I think I want to go back to Apple is that I enjoyed the trial very much and I am considering upgrading to the family sharing plan and I don't believe that I can do that through Verizon without paying for two individual subscriptions. Therefore, I'm thinking that it may be cheaper through Apple.
I did read that when the Verizon offer was first made, current Apple Music subscribers were told that they could take advantage of the free offer by cancelling their Apple subscription first and then signing up for Verizon's free offer. Further, they were told they would not lose any of their library of music. I'm not sure if it works the other way, though.
So, I'm still wondering what happens if I cancel Verizon's plan and subscribe to Apple Music through Apple, will I lose any of my library?