I use these git alias and it pretty much does the job automatic:
git config --global alias.move '!git checkout master; git branch -m $1 $2; git status; git push --delete origin $1; git status; git push -u origin $2; git branch -a; exit;'
Usage: git move FROM_BRANCH TO_BRANCH
It works if you have the default names like master, origin etc. You can modify as you wish but it gives you the idea.