I go to OSU-COM, so I may be a little biased, but I'll try to give a comparison (I was accepted at KCOM and OSU-COM and chose OSU-COM)
Tuition-- out of state OSU is approximately equal to KCOM
Student body-- 88 at OSU vs. upper hundred to low two hundred something (i think) at KCOM. For me, I like the smaller class because it allows for more prof/student interaction as well as the chance to know ALL of your classmates-- pretty cool.
Rotations-- OSU is public, therefore we do our CORE rotations at Tulsa Regional Hopsital, and the rest in the Tulsa area (except for your electives, which can be done anywhere) KCOM has CORE sites across the nation, which allows for more varied experience, but less stability if you have a family.
Facilities-- OSU is smaller (smaller class size, so you don't need as much space anyway) and has great lecture facilities, but a sub-par library and student recreation facilities (but in Tulsa, there's tons of fitness centers, climbing gyms, river parks, etc to join). KCOM has a great rec-center, and facilites are very nice, from what I remember
Location/Housing-- OSU is downtown, but what medical school isn't.
There's apts across the street, and across the river. Housing is easy to find, and there's a wide variety of places to choose from. KCOM-- Kirksville has a great small town charm (i'm from a small town myself, and I liked k'ville), but it doesn't offer as much in relation to recreation and housing that a bigger city can. Columbia is at least an hour drive south, and i'm not sure what town is closest to the north. For two years, anyone can handle it, and if you let it, I'm sure the town would grow on you.
Faculty/Staff-- Curriculum wise they are probably similar-- all i really know is OSU's curriculum. From what I've been told our board scores on OMT are average, but our sciences section is outstanding. We have the lowest percentage of physicians going into primary care of the DO schools (we specialize more) You'll have to ask a KCOM student about their curriculum and residency stats.
I can't really think of much else off the top of my head. I basically made my decision on the above factors and how I felt when I interviewed at the schools. Also, I don't want to offend anyone at KCOM (after all, we're all on the same team anyway.. go D.O.!!), so if they have any other input, please feel free to share.
take it easy
homonculus