First, it's called a Bird of Prey. Warbirds were the very large TNG-era Romulan warships.
Second:



No sign of flaps, top or bottom, on the film model. The wings, however, do move for different flight modes (lowered for combat, level for cruise, and raised for landing). Well, at least they did prior to breaking the mechanism when reusing the model for TNG...
Looking closely at the winglets, it looks like they're designed to rotate independently of the wing....