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.
If you are reading this instead of viewing a chess puzzle or game, then you must enable JavaScript on this website.
[Event "rated untimed match"]
[Site "?"]
[Date "????.??.??"]
[Round "?"]
[White "Unknown"]
[Black "Unknown255"]
[Result "1-0"]
[Annotator "David Hayes"]
[BlackElo "0"]
[FEN "8/7p/6p1/8/5KPP/8/6k1/8 w - - 0 1"]
[SetUp "1"]
[TimeControl "0"]
[WhiteElo "0"]
1. h5 Kh3 2. Kg5 ( { White can try: } 2. h6 Kh4 3. g5 Kh5 4. Kg3 Kxg5 5. Kh2 Kxh6 { Black wins with a large material advantage. } ) ( { White can also try: } 2. hxg6 hxg6 3. Kg5 Kg3 4. Kxg6 Kxg4 { Draw. } ) 2... Kg3 3. h6 ( { White can try: } 3. Kh6 Kxg4 4. hxg6 hxg6 5. Kxg6 { Draw. } ) 3... Kf3 4. Kf6 Kxg4 5. Kg7 Kf5 6. Kxh7 Kf6 7. Kg8 g5 8. h7 g4 9. h8=Q+ { White wins with a large material advantage. } 1-0