Apparently documentation mentions ORDS_METADATA schema. I suppose that exporting it from one to the other instance should be sufficient, plus maybe enabling ORDS for schemas and tables that should be accessable to ORDS. But this looks like a bit of a workaround. Is there really nothing better?
there's 2 pieces, ORDS, and the Services.
ORDS can be moved by simply packing up the WAR file and moving to the new location, or just re-installing it.
The services are defined in the REST-enabled schema.
You can export the modules to PL/SQL scripts, which can then be ran in your new environment.
I'd recommend you Source Control these scripts, so you can track changes, and easily build deployment/upgrade packages.