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 "????.??.??"]
[Round "?"]
[White "Unknown"]
[Black "Unknown133"]
[Result "0-1"]
[Annotator "David Hayes"]
[BlackElo "0"]
[FEN "1k4r1/ppp4p/8/P4Q2/1r1q2PP/5P2/6K1/2R2R2 b - - 0 1"]
[SetUp "1"]
[TimeControl "0"]
[WhiteElo "0"]
1... Qd2+ ( { Black can try: } 1... Rb2+ 2. Rc2 a6 3. Rxb2 Qxb2+ 4. Rf2 Qg7 5. Re2 Qg6 6. Qc5 h5 7. Re7 Rc8 8. g5 { White has the advantage. } ) 2. Kg3 Rb2 3. g5 Qg2+ 4. Kf4 Rb4+ 5. Ke3 Re8+ 6. Kd3 Qe2+ 7. Kc3 Qb2+ 8. Kd3 Rd4# 0-1