How i play KK:
- early position (ex: UTG), call BB
if raised, all-in
if just the BB's in pot and the flop is a one with no Ace, no two suited cards, no to cards for quint, i go all in
- middle position, if no call so further, all in
if raises, all-in
if calls of BB, call
- late position, no call -> all in
1 call, all in
2 or more calls, call just the BB
higher the BBs, more often all-in
if any questions, please ask
ps: sorry for bad english