How to move folders with CopadoFolders can be committed and deployed with Copado in the same way other metadata types are committed and deployed. The folder is selected in the metadata grid on the commit page if you are moving components with user stories or you can also select them in a Metadata deployment step if you are moving them org to org without suing Git.
This is how different folders look on the metadata grid:
As you can see, report folders will be of type Report, document folders will be of type Document and so on.
You only need to know the name of the folder to find it on the grid and select it.
The deployment of subfolders is not supported by Copado. You can check this KI-00002 in the Community for more details.