Steps as follows:
$ magento-cloud project:get e7s9kiwfapxcy
$ cd cloned-directory
$ git branch -a
Output:
* master
remotes/magento/HEAD -> magento/master
remotes/magento/jcollins
remotes/magento/jcollins-child
remotes/magento/master
I created a new private repository in Bitbucket
git remote add origin [email protected]:justincoll/magento.git
Finally, I attempt to push all remote branches
git push -u origin --all
Result: Only master is pushed