How to get music off of my new computer onto my iPhone 4s?

The catch is, I can't get to my old computer, the one that has all my original songs.
I've already figured out how to get all of my songs onto the new computer, but I can't put new songs from the new computer onto my phone.
I reset all of my authorizations and the phone is only authorized on the new computer.

Please help I'm stuck with outdated music! :/ :/ Thank you!

What you need to do is open up iTunes. Then hit ctrl+o (if you're on a windows computer.) Then you select the songs you want to add. Then you plug in your phone and sync.

Adding content on your computer to iTunes

iTunes helps you add digital audio and video files on your computer directly to your iTunes library. You can add audio files that are in AAC, MP3, WAV, AIFF, Apple Lossless, or Audible.com (.aa) format. If you have unprotected WMA content, iTunes for Windows can convert these files to one of these formats. You can also add video content in QuickTime or MPEG-4 format to iTunes. To learn how to add these files to iTunes follow the steps below.

Open iTunes
From the File menu, choose one of the following choices:
Mac
Add to Library
Windows
Add File to Library
Add Folder to Library
Navigate to and select the file or folder that you want to add

If iTunes is set to "Copy files to the iTunes Music folder when adding to library," iTunes will copy all content that is added to the iTunes library to the iTunes Music folder. To adjust this setting or change the location of this folder, go to the Advanced tab in iTunes Preferences.
And then sync your phone to iTunes.

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