Add the following to your ~/.gitconfig.
bpc = "!f() { git branch ${1} && git push --set-upstream origin ${1} && git checkout ${1}; }; f"
Run as
git bpc myBranch
This will create the local branch, push it, and check it out.
Add the following to your ~/.gitconfig.
bdf = "!f() { git branch -D ${1} && git push origin --delete ${1}; }; f"
Run as
git bdf myBranch
from any branch other than byBranch.
This will delete both local and remote copies of the branch.
Locally, to create and checkout the branch do -
$ git checkout -b your_branch
Then, to push your branch to origin, do -
$ git push -u origin your_branch