I see Bird opening as just Dutch Defense with extra tempo, and Dutch Defense has a pretty solid theory behind it, so I would study that if you want to learn more about the general ideas behind the opening.
From your line, I wouldn't play 10. exd4. Black has an ugly pawn structure and an extremely weak c4 field you can put your knight on. With Nb1-a3-c4 and Nf3-e5 maneuvers you effectively shut down your opponent's counterplay, and can prepare to start pushing on the king side, with him being unable to do lot about it. This is worth far more than a pawn, I'd say. If you do get after the pawn, then it's better to take with the bishop on the 11th move, and, similarly, try to get your knights on c4 and e5 - although this time, due to the open d line and lack of doubled pawns on the c line your opponent will be able to apply some pressure with rooks and the queen.
How is the Bird opening made? What are the first few bids? And what is the general idea of openness?
after Bc5, what is best for White ?