If you're going to use Bridge exclusively just drag the Originals folder to where you want it stored and point Bridge to it. No exporting to be done.
If you plan to still use iPhoto then make a copy of the Originals folder and, again, place where you want it for access by Bridge.
Since Bridge is a browser which uses Photoshop as the editing component I would think the first option would be what you'd want (just guessing). If you use Bridge to view and then edit photos in the iPhoto library folder the edited version will not be recognized by iPhoto and can mess up the library. You can, however, use Photoshop from within iPhoto its Preferences so that PS edits will be recognized.