How to take advantage of a dead bishop?

The position below arose after White's 32nd move, Kxd2. (White just took the rook.)

This is exactly the setup I had been playing for in the game yesterday, for I thought it was won because of the opponent's dead h7B.
What do you think -- is it actually won by White? I have had this played out several times by Fritz 9, both with blitz and shootout, and all of the times White won due to the spatial advantage, but I am not sure if the engines played the best possible lines.
What should White's (who has the living bishop) plan be in positions like this?