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.
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[Event "rated untimed match"]
[Site "?"]
[Date "1957.??.??"]
[Round "?"]
[White "Henkin"]
[Black "Masic"]
[Result "1-0"]
[Annotator "David Hayes"]
[BlackElo "0"]
[FEN "1r4n1/p3ppk1/2p1b1p1/2q1P1Q1/1r1p4/1P1B1P2/P1P3P1/1NKR3R w - - 0 1"]
[SetUp "1"]
[TimeControl "0"]
[WhiteElo "0"]
{ With hot attacks on both wings, the side that breaks through first wins. } 1. Rh8 Bxb3 ( { Black can try: } 1... Kxh8 2. Bxg6 fxg6 ( { Black can try: } 2... Kg7 3. Bh7+ Kh8 4. Rh1 d3 5. Bxd3+ Nh6 6. Rxh6# ) 3. Qxg6 Qxe5 4. Rh1+ Qh5 5. Rxh5+ Nh6 6. Rxh6# ) 2. Qh4 Qxe5 3. axb3 { White wins with a large material
advantage. } 1-0