Wow, there are some insane tricks if Kh2 as you mentioned and then Rf7, trying to create a mating net later with h4 and f4 and Rh8. :)
Gallery of horrors

That endgame, headache! Glad you managed to win it!
36...bxa5 and because of Rxb7+, 35...Kg7 might be better, to hide on h6. :)

#30, how does black win the rook? It's winning anyway, yes.
#31 - wow, nice tactic, I wonder if I'd spot it.
#33 - relaxing one :) I always like to play till the end if winning. 36.Qg7+ and 37.Rd5# :)

Damn, you are right! In the other one, I mean white wins the rook. Well, in the last one I wasn't feeling exactly happy. Wifey says, if I look upset, I must have a big advantage ("God knows why").

Another crazy one: