Finally after countless hours I did it....
If you are a Chromebook and Galaxy S4 user this is a must read! Chromebook users read additional stuff at the end.
OK I did it without syncing the phone to a computer. This was important to me because I have a Chromebook and I can not hook it up directly to download stuff.
Use this app from the Google Play Store: Airdroid
https://chrome.google.com/webstore/detail/airdroid/hkgndiocipalkpejnpafdbdlfdjihomd
and follow the set up instructions. This app is great because you can basically use your phone on your computer, plus other bonuses like phone tracker, etc...
Once you are all set up... (I assume you use this through Chrome for best results or any results. Don't know about other browsers.)
Go to the Music app on the " Galaxy Screen" (in your browser) and click it.
Select "Upload"
Select or Drag and drop the Ringtones/music you want to the window that opens and click Upload.
It will upload everything your selected to your Galaxy and place it in the Sound Picker.
Then from your S4:
Go to: Settings-My device-Call-Ringtones and key notes-Ringtones-Add-Music picker
and there you go.
For Chromebook users;
What I did is go to "Google Play Music" and downloaded the ringtones/music to "Downloads" on the local disk. I think you can also do this via Google Drive but first time out the gate I wanted to go the easiest route. It will download the files as a zip. YOU MUST FIRST OPEN THE ZIP FILE. Then follow the steps from above for Airdroid.
Best of luck to everyone, Bitter.