There is a wonderful  8.6 mile loop trail that connects all three bridges, following the canyon bottoms for most of its length, then returning via the mesa top.   Well worth the time, the park estimates 6 hours but you can do it in 4 and still have plenty of time to spare for photo stops.

When I went a thunderstorm passed overhead and lightening was striking the canyon rim.  It was utterly amazing and the sound of the thunder really "rolled" along the canyon bottom.