Bishop of Opposite Colors

The white side cannot hold this position due to the brilliant sacrifice of the f-pawn, then the b-pawn, and the black king gets to b3 and wins!  We sacrifice the f-pawn to keep the white king on f4; otherwise, black's king gets to f5.  Because of this, the bishop has to move, and then we sacrifice the b-pawn, and black's king will eventually get to b3 and win.  I take no credit for this.  It's all Stockfish!  

Just curious, what if exf4 instead Kxf4? In line 59

That's a really nice line! That said...my instincts say White should have a way to put up better resistance. That's purely my experiential opinion and without any concrete lines to back it up, so I very well might be wrong. While I'm sure you've already spent a little time reviewing for obvious improvements for White, I'll pull out my engine when I have time later and see what I can find.

Upon second thought, I don't think it's holdable. The two passed pawns are too much and too far.

I guess it is really hard for me to understand things here XD 

@ShadowCellen White's problem is that his king is tied down to staying close to the g-pawn. There's no way to have the bishop cover it and run the king to the queenside because the a-pawn would promote before the switch could be made. If White's king can't get to the queenside, then the Black king gets to b3 and the a-pawn moves ahead like in the sample line.

Oh..I think I started getting it now

Then the black king gets to f5 and infiltrates.

Oh right didn’t see that

Is my game same as this endgame?

What can I do to improve with the bishops.

This position (8/8/3p4/p1pPkp1p/Pp1p2pP/3K2P1/8/8 w - - 0 67) is a King and Pawn endgame.  It's relative easy to win.  One way to win 67. Kc4 Ke4, and now black wins the d5 pawn.  The fastest way to win is 67. Kc4 Ke4 and promoting the d-pawn.

Thanks NM NathanHoover.