Flight
Slightly weird but sometimes the MCI airport shows up as KCI -- Just make sure that you're landing in Kansas City, MO (Kansas City International Airport)
Travel Note
The Wedding is in Lawrence Kansas but the hotels near there are generally more expensive. If you choose to stay closer to the Olathe, KS area (generally cheaper) the drive is about 35 mins from the air port and 40 mins to the wedding venue.
House Or Rental
There are decent car rental options a short (free) shuttle ride from the airport
Travel Note
Kansas City has a pretty wide verity of things to do ranging from the world renown Nelson Atkins Art Museum to the Music and Nightlife of the Power and Light District.