I know there's Amazon which is a free app even though the songs aren't free, is there anything else that's as good or better?

Google Play Music would be somthing similar.

And you can download from any source on your PC and move the Files to your Phone.

There is only one, Spotify

I don't have a Windows PC, as evident from some of my other threads you'll know I have a Chromebook.

And no, I don't fail for owning one of those.

The original Hi Quality streaming and downloader.

£9.99. No ads. I used it on my phone, tablet and laptop.

Might be worth a look. Especially if you're planning on Hi Def for the best quality without paying extra for it.

SimpleMP3