Welcome to the forum and congrats on the new grill. Lots of good advice already. I expect with the new grill, you're already motivated to read up on this style of cooking. You really can cook just about anything well on the kk.
Most of the typical grill fare can be cooked over direct heat (nothing between the meat and the flames), lots of bbq responds well to indirect heat (some sort of deflector between the flames and the meat) and some things are great using a combination of both at different stages of the cook. If you want to spend a day on a nice slow indirect cook, pulled pork with a boston butt or pork shoulder is very forgiving. It isn't easy to screw it up and the results are amazing.
Throw out a couple ideas for a cook and I'm sure you'll get a lot of responses.