AM radio to Bluetooth.. or other ideas.

Let me tell you what I did. It costs less than $100 and gives you amazing music. I have an app on my phone called AccuRadio ( Free Internet Radio | AccuRadio Online ). It has several hundred substations. For instance, If you like Classic Rock and Roll of the 50s, 60s and 70s, there are at least 25-30 substations for that genre. And there are dozens of Genres-each with lots of sub stations. There is any kind of music you can imagine. After you have given a rating of 5 stars to 25 songs, you get your own channel. I like Classic Rock and Roll of the 50s, 60s and 70s, and my channel has about 150 of my favorite songs.
But the cell phone doesn't have good sound. I bought a Sont Bluetooth speaker that is a bit bigger than a soup can. Once I connect the speaker to my phone, I bring up my channel on AccuRadio and cruise to my favorite music. It works out great. I could not be happier.
If you really want to listen to FM radio, there are some apps that allow you to listen to FM radio stations online on your phone. I have never done it, because I like AccuRadio so much.