Unfortunately we don't have any guide for migrating the entire installation from an installer to a cloud image. The reason is that the edX stack is very complex and has a lot of dependencies, that would make the migration process very painful.
Note that, since the installation is the same, you could compress the installer directory, copy it to your cloud instance, extract it (to the same directory) and start services.
However, the recommended approach is to export any course, and import it in the new installation.
If you had any customizations, you would have to apply them one by one.