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 "Los Angeles"] [Date "1989.??.??"] [Round "?"] [White "Schutt, R"] [Black "Peters, J"] [Result "0-1"] [Annotator "David Hayes"] [BlackElo "0"] [FEN "8/8/1p1p4/1PpPp3/2P1P1b1/3BK3/8/4k3 w - - 0 1"] [SetUp "1"] [TimeControl "0"] [WhiteElo "0"] { Black has all the advantage.|Black's pawns are all on dark square safe from attack by white's white-square bishop. Whereas all of white's pawns are on white squares. They are vulnerable to attack by black's white-square bishop.|How can black win them? } 1. Be2 { Black must be alert to avoid tactical surprises like this one. } 1... Bh3 ( { Black dare not try: } 1... Bxe2 { Stalemate! } ) 2. Bf3 Bf1 3. Be2 Bg2 4. Bg4 { Black will move his king to g3 and his bishop to d1 where it will threaten white's c-pawn.|White's king must protect the decisive f2 and f4 squares. } ( { White can try: } 4. Bf3 Kf1 5. Bxg2+ Kxg2 6. Ke2 Kg3 7. Ke3 Kg4 8. Kd2 Kf4 9. Kd3 Kf3 10. Kd2 Kxe4 { All of white's pawns fall. } ) 4... Kf1 5. Bh5 Kg1 6. Be2 Kh2 7. Bd3 Kg3 8. Be2 Bh3 9. Bd3 ( 9. Bd1 Bg4 10. Bxg4 ( 10. Bc2 Bh5 11. Bb3 Kg2 12. Bc2 Bg4 13. Bb3 Kf1 14. Bc2 Be2 15. Bb3 Ke1 16. Ba2 Bd1 17. Bb1 Bb3 18. Bd3 Kd1 19. Be2+ Kc2 20. Bd3+ Kc3 21. Be2 Bxc4 { White's pawns fall. } ) 10... Kxg4 { Black achieve a winning king and pawn endgame. } ) 9... Bg4 10. Bc2 Bh5 11. Bd3 { White must eventually allow the black bishop to move through d1 to get to b3. } 11... Bd1 12. Bf1 Bc2 13. Be2 Kg2 { The black king now slowly makes his way to the other side of the board. } 14. Bf3+ Kf1 15. Be2+ Ke1 16. Bf3 Bb3 17. Be2 Ba2 18. Bd3 Kd1 19. Be2+ Kc2 20. Bd3+ Kc3 21. Be2 Bxc4 { White's pawns fall. Game over. } 0-1