You can move a stream to a different location in the library. At the moment it is not possible to bulk-move streams.
Select Conversations to access the Library.
Locate the stream that you want to move, and click
Select the new location for the stream.
If you move a stream from Your Library (limited access) to the CompanyLibrary (company access) or vice versa, the stream accessibility is impacted accordingly.
If the stream is in the Company Libary and has subscribers, and you move it to a folder in Your Folders, those subscribers will stop receiving notifications for the stream.