re: Poker & $10 max NLHE -- KK OOP; how to play river?
Make your standard c-bet on flop, especially if you've been c-betting a lot lately: check/calling here looks suspicious (weak or very strong) to any observant opponent and doesn't allow us to extract any more value by doing so from hands that will bet here (flush draws, TPTK, TPGK): ie. there's no point in hiding our hand from someone who has cold called our raise, he already knows we have something. Plus, if we have developped a pattern of c-betting, our hand is disguised anyway.
I don't dislike the turn c/r all that much after c/calling, but I'd prefer a much heftier raise, since we'll get called by worse hands than if we had just donked, and for a lot more: we have to cut down our opponents pot odds
a lot more since anyone with a J and a draw (wether straight or flush) has excellent chances of drawing out on us. That 9h opens up a world of possibilities for hands that might outdraw on you on the river. I bet here pretty much always for pot control and to not give a free card. I refer to reads if raised.
That Jh is really one, if not the worse card in the deck for us. Backdoor flushes have filled, trips, etc. I c/fold a lot here, maybe put out a blocking bet (1/3 pot) and fold to a raise, but I'm pretty sure we're next to never ahead here so c/f is the likelier option.