Let's say you have added your original remote like this:
git remote add origin origin-host:path/to/project.git
What many people don't know is that you have the option to add multiple hosts for the same remote. You can do this by simply adding your second host to the same remote like this:
git remote set-url --add origin second-host:path/to/project.git
You can do this whenever you want to have any hosts.
git remote set-url --add origin third-host:path/to/project.git
git remote set-url --add origin fourth-host:path/to/project.git
git remote set-url --add origin fiveth-host:path/to/project.git
Your config file will look something like this:
[remote "origin"]
url = origin-host:path/to/project.git
url = second-host:path/to/project.git
url = third-host:path/to/project.git
Now you can push your changes with a single command, which will be synced to all repositories.
git push origin {branch name}