Dacha Tactics #120 - The wild king: Dark with light intentions part 1

Here we have a fascinating position taken from a variation in my game (the next puzzle is the game itself!). Color money? We have opposite colored bishops, so we are +1000 dark but -1000 light. Our king is ferocious - and would love nothing more than to continue the invasion and break down black's light resistance. Our first thoughts might be to target the e6/h5 pawns, but could there be a mating attack looming?! Also, can there be any additional light help? Surely not from the dark bishop – but maybe the pawns?!