From "My Games" (in the command bar above) go to your archives. Then "Manage Games" (again above). That creates a series of check boxes on the right side, you may have to scroll to see them. Check the games you wish to move. Then back to the left side for "Move to Folder" and select where you want to put them. I don't think you can have duplicate copies of games in different folders.
May I suggest not jamming up your inbox with finished games. Create new folders (to the left ("Manage Folders" ). I have one titled "Losses to Study", unfortunately it has 100's of games.