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 "Unknown153"]
[Result "0-1"]
[Annotator "David Hayes"]
[BlackElo "0"]
[FEN "5R2/p5Q1/5pp1/3p1k1p/3Pp1nP/P3P3/1r3PP1/1q3BK1 b - - 0 1"]
[SetUp "1"]
[TimeControl "0"]
[WhiteElo "0"]
1... Rb7 2. Qg8 Qa2 3. Kh1 Qc4 ( { Black can try: } 3... Nxf2+ 4. Kh2 Ng4+ 5. Kh3 Nxe3 6. Rxf6+ Kxf6 7. Qf8+ Ke6 8. Qe8+ Re7 9. Qxg6+ Kd7 10. Bb5+ Kc8 11. Ba6+ Kc7 12. Qg3+ { With a likely draw. } ) 4. Kg1 Rb1 { Black mates soon. } 0-1