Making a git repository of your home is probably a bad idea (you would be spending more time creating your .gitignore file than on doing what you really want to do).
I suggest using a separate git directory for your dotfiles (eg. ~/git/dotfiles) and them making symlinks to your home (eg. ln -s ~/git/dotfiles/.vim ~/.vim, etc.).
If you can’t be bothered creating symlinks manually each time you want to install your dotfiles somewhere, you can use a script like the following one: https://github.com/gibfahn/dot/blob/master/link.