If you download the files to your laptop, you'll still have those files to keep and transfer between your devices. I bought most of my music on iTunes, then copied it across to my Android device via a microSD card.

(Incidentally, I'm still looking for a good Android music player for my offline files. Google Play Music works, but it isn't very elegant & it's hard to browse when you have lots of artists. I guess I'm wondering what the modern day Android equivalent of Winamp is.)