You all have probably made your decisions by now but I thought I'd add some information to this thread. I don't live in Wichita but I have lived in Kansas for a while and have friends in Wichita/have been to Wichita many times.
First of all — Wichita is very strongly associated with aircraft and aircraft manufacturing. Actually, I suspect that's a big reason people you've been seeing online have been saying not to move there. Boeing has a big manufacturing plant based in Wichita (and has for a long time) but that's closing by the end of 2013 so a lot of people will be looking for work.
Wichita is a fairly inexpensive city overall and housing is fairly inexpensive there too. I would not move to Wichita without a car. I would not move to Kansas without a car. I would not move to any of the states surrounding Kansas without a car. Everything is spread out out here because there is just a lot of space. HOWEVER, Wichita does have a domestic airport that flies to many major cities. From Wichita Mid-Continent Airport you can fly to Atlanta, Chicago, Dallas, Las Vegas, Los Angeles, Phoenix, Minneapolis, and (I think) Denver.
The weather in Kansas is completely erratic. Yesterday it was snowing. In February we had 70 degree days. It can be 75 degrees one day and 30 two days later. Thunderstorms pop up quickly and the entire state is prone to tornadoes. Summer days are often 100+ degrees and it isn't unheard of to be in the single digits in January.
Personally I am hoping to get out of Kansas altogether for graduate school (been here for years and years, need a change) but if I weren't I would move to Wichita.