I deleted iTunes from my PC, is there any way i can sync my phone to a newly downloaded iTunes without losing my music that wasn't purchased from iTunes?

BACK-STORY
I recently was given a new iPhone 4S from the Apple Store, I synced it to my PC when I got home and got everything back.I had to uninstall a download of windows 8.1 back to the original windows 8 in order to install an anti-virus software. The only way to uninstall Windows 8.1 is basically a factory reset, by doing so I lost everything that wasn't saved in cloud or external drive.I downloaded iTunes again, signed in and the only thing I could find was the music that I purchased from iTunes. I don't want to connect my phone to the iTunes I just downloaded,because I think I'm going to lose all the music that's already on there, minus the music I bought from iTunes. It's a lot of albums and it took me a while to collect them all too.
WHAT I WOULD LIKE HELP WITH PLEASE
Can I transfer the music on my phone to some type of storage?
USB memory drive
Cloud ex. Skydrive, Google Drive, Dropbox etc
Store somewhere on my PC. (I know I can't sync from my iPhone to iTunes.)
If it is at all possible to store the music that's already on my iPhone using another method,such as the ones I've mentioned or haven't,can I then transfer it to iTunes?
If there is no way to save my iPhone's music library, then when I rebuild it is there a way to store it, that if the same thing was to happen I wouldn't have to go through this process?
Also, any other tips or advice would be greatly appreciated.
THANKS IN ADVANCE TO ALL!!

The syncing of music is one way, computer to phone. See this helpful document from a fellow user. Credit goes to the author.
https://discussions.apple.com/docs/DOC-3141

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