It's pretty easy to use the Vapor scripts to move a site.
1. Make a new installation in the new location with the same version as your original. It's easiest if you create a Manager user with the same username and password as the original site.
2. Run the Vapor scripts on the old installation, according to the
instructions.
3. Put the resulting transport.zip file in your new installation's core/packages directory.
4. Install the package from Package Manager as you would any other package. You will lose the "new" login and will need to log in again with your "old" username and password.