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 "Sidney Bernstein"]
[Black "Ariel Mengarini"]
[Result "1-0"]
[BlackElo "0"]
[FEN "8/p1r2bkp/1p1r4/1B2n1P1/3Bp2P/2P5/P4P2/R5K1 w - - 0 1"]
[SetUp "1"]
[TimeControl "0"]
[WhiteElo "0"]
{ Win material. } 1. Bxe5+ Kg6 2. Bxd6 { White wins with a large material
advantage. } 1-0