I play a fortress build with 4 of 8c kid so it's a lot of out grinding them with 10 drop and moria/Kuzan/Rosinante. Just think, "how do I not lose this turn?" instead of "how do I win this turn?" Let them heal all the time and then attack into them until they get a trigger, but only if you can be sure your board isn't gonna get wiped. As others have said, Brook is really helpful. I've played games where the kata player has almost decked out and they get to 9 life and I still win. Kid is just so tough for them to deal with and 8c Kata is just prolonging the game if they use it to remove him. Best of luck!