Look for opportunities to make a favorable exchange. Somewhat paradoxically, one of the biggest advantages of holding the two bishops is that at any moment you can exchange one of them. The point is to simplify into an endgame where your remaining bishop is superior to your opponent's remaining knight or bishop.
If you are reading this instead of viewing a chess puzzle or game, then you must enable JavaScript on this website.
[Event "rated untimed match"] [Site "?"] [Date "????.??.??"] [Round "?"] [White "Unknown"] [Black "Unknown453"] [Result "0-1"] [Annotator "David Hayes"] [BlackElo "0"] [FEN "r2qk3/pQ6/2p2p2/3b2p1/1b6/2N3K1/PPP2PPP/R6R b q - 0 1"] [SetUp "1"] [TimeControl "0"] [WhiteElo "0"] 1... Qd6+ ( { Black can try: } 1... Bd6+ 2. Kh3 Be6+ 3. g4 Rc8 4. Rae1 Be5 5. Qh7 Qe7 6. Qxe7+ Kxe7 { White wins with a large material advantage. } ) 2. Kh3 Qf4 ( { Black can try: } 2... Rb8 3. Qh7 Be6+ 4. g4 Bxc3 5. bxc3 Qf4 6. Qg6+ Ke7 7. Qg7+ Kd8 8. Rad1+ Bd5 9. Rxd5+ cxd5 10. Qg8+ Kc7 11. Qxd5 { With a likely draw. } ) 3. Rae1+ Kf8 4. Qxa8+ Kg7 5. Qb7+ Kh6 6. g3 g4+ 7. Kh4 Qg5# 0-1