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 "Suer"]
[Black "Nunhert"]
[Result "1-0"]
[Annotator "David Hayes"]
[BlackElo "0"]
[FEN "4rbk1/2p2p1R/ppq1pBp1/3nP3/3P2P1/1P2QN2/1P3P2/1K6 b - - 0 1"]
[SetUp "1"]
[TimeControl "0"]
[WhiteElo "0"]
{ Black's position hangs on a thin thread. He must capture the rook or suffer
mate with Rh8#. } 1... Qc2+ ( { The immediate capture allows white a decisive
attack leading to a quick mate. } 1... Kxh7 2. Ng5+ Kg8 3. Qh3 Nxf6 4. exf6 Qe4+ 5. Ka2 Bh6 6. Qxh6 Qb1+ 7. Kxb1 a5 8. Qh7+ Kf8 9. Qxf7# ) 2. Kxc2 ( { The
king must capture the queen or else: } 2. Ka1 Qd1+ 3. Ka2 Nb4+ 4. Ka3 Qa1# ) ( { White can also try: } 2. Ka2 Nb4+ 3. Ka3 Nd3+ 4. Ka4 Nxb2# ) 2... Nxe3+ 3. fxe3 Kxh7 { Finally, white can capture the rook. Black is up the exchange, and has
better pawns. } 1-0