The Kansas City market signals will require a bit more budget than you're indicating.
For the local Topeka market, an RCA ANT751R pointed at about 220° (compass) should do very well. Most of the signals are quite strong, so resist the temptation to add any amplification.
RG-6 coax (double shielded) is available at the big box home centers in bulk and various lengths with factory installed connectors. If you own the tools for stripping cable and installing compression connectors, and you are confident that you can get good results every time, then buy bulk cable... Otherwise the factory assembled cable will cost less and be one less thing to wonder about if you need to trouble shoot a problem later.
Measure the circumference of your chimney. That will determine the length of straps needed when spec'ing a chimney mount.
Splitting shouldn't cost too much, the Ideal brand #85-132 is less than $5 at Amazon and Home Depot right now. For basic OTA TV reception, there's no need for satellite grade splitters.
Please consider grounding also.
http://forum.tvfool.com/showthread.php?t=901 post #20 is a summary.