well for this particular endgame you would want to start moving you passed pawns forward, and it is probably a good idea to put your king on the likes of c6, then rely on the bishop having greater mobility than the knight in order to convert into a queen eventually. the connected passed pawns really helps you out, along with white's pawn being the a pawn and not, say, an extra g pawn. I realise you are a stronger player than I am, but if this helped then I'm glad.
How to win this endgame?
I think the simplest option is to first try to win his pawn while avoiding the loss of your own. If you place the bishop on e7 I don't see how he can get to the pawns without trading the knight for the bishop, in which case he still cannot take your pawns. Once you've won his a-pawn, it should be rather easy.
Of course, trying to promote your pawns right away might also work, but could be more complicated.
That makes sense. I knew that just his king going after my pawns was nothing to be worried of (since if the minors come off they're immune), but I couldn't figure out how to keep the knight away and pick up the a-pawn.
Wow...that was a lot of text.
Stockfish puts the position at -3.1 or so, and I feel like its a long enough endgame that it goes beyond what a computer can analyze. However, since play is on both sides of the board, and the black king is better placed, I find it tough to believe that a bishop is not winningly better. Though obviously the actual evaluation has nothing to do with how things are played :P
The main problem for black is that white can sac the knight for either pawn, provided he gets his king in front of the backwards one. So I think he has to put his pawns on dark squares, not just play Be7.
It's tricky, to the point where an inaccuracy draws. Instructive though.
So I recently had the black pieces in this endgame, and I wasn't able to convert. What is the general strategy here, and what might be some general endgame ideas to take out of it going forward?