VS 2013 git hub integration in 11 steps

[RawCode]

I see no reason to reinvent bicycle, everything already invented:
http://stackoverflow.com/a/20004092/2978478

OK this worked for me.
Open the solution in Visual Studio 2013
Select File | Add to Source Control

That creates a local GIT repository
Surf to GitHub
Create a new repository DO NOT SELECT Initialize this repository with a README

That creates an empty repository with no Master branch
Once created open the repository and copy the URL (it's on the right of the screen in the current version)
Go back to Visual Studio
Open Team Explorer
Select Home | Unsynced Commits
Enter the GitHub URL into the yellow box
Click Publish
Select Home | Changes
Add a Commit comment
Select Commit and Push from the drop down

Your solution is now in GitHub

After simple and easy procedure, you can work with git without any additional applications right from "Team Explorer view".