You may do anything to remove someone from the hill, thus placing you on the hill.
After you perform your action to the previous 'King of the Hill' (e.g. I cut your limbs off and roll your torso down the hill) then say "I am King of the Hill"
I stand on the hill.
I am King of the Hill.
An unfounded opinion of another is a reflection upon oneself. -Me (awesomeness)