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 "Unknown039"]
[Result "0-1"]
[Annotator "David Hayes"]
[BlackElo "0"]
[FEN "3r2k1/pppr2p1/5p1p/4n1B1/2Pp3R/PP1B1PPb/2Q2P1P/4R1K1 b - - 0 1"]
[SetUp "1"]
[TimeControl "0"]
[WhiteElo "0"]
1... Nxf3+ 2. Kh1 Bg2+ ( { Black can try: } 2... Nxe1 3. Qb1 Nxd3 4. Qxd3 Bf1 5. Qxf1 hxg5 6. Re4 { White wins with a large material advantage. } ) 3. Kxg2 Nxe1+ 4. Kf1 Nxc2 5. Bxc2 hxg5 6. Re4 { Black wins with a large material
advantage. } 0-1