I would only go as far as Kf1(if at all) with my king and then play Rc1 right away with the advancement of my queenside pawns to ensue. Since there is a 2 to 1 majority on the queenside with pawns in whites favor, you can create a passed pawn by force and the bishop will likely have to give itself up in a short amount of time to capture the passed pawn, thus making the endgame much more simplistic.
Just some thoughts...
~Jerry~
here's an endgame from recent game i played. i felt that my very active king was how i won (even though i was up material as well). my rook pretty much doesn't move until right at the end. all the damage is with my king. great lesson to beginners that the king is a very powerful piece in the endgame. all comments welcome.