Welcome to Android Central! If you want the music files locally stored, just connect the phone via USB and use Windows Explorer (assuming you have a PC) to copy the iTunes music files to the phone's internal storage (preferably into a Music folder, maintaining the same folder hierarchy of Artist>Album>Song).
You can also consider uploading your entire iTunes library to your Google Play Music in the cloud. You can then stream it from any device, and also download music to the device for offline listening. https://support.google.com/googleplay/answer/1229970?hl=en