Here is what the Wichita website says:
Domestic Animal Maintenance
Any person keeping in his possession and control, within the corporate limits of the city, more than 5 fowl, 2 rabbits, 2 dogs, 2 cats, or 1 sheep, 1 goat, 1 horse, 1 cow, 1 ratite, or more than 2 domestic animals of another kind, is required to pay an annual fee for an appropriate classification permit. With limited exception, no more than 2 nanny goats, 12 rabbits, 12 fowl other than pigeons, 25 pigeons, 2 horses or other equines, 1 cow, 2 sheep, 2 ratites, 4 dogs, 4 cats or 2 domestic animals or other kind; OR no more than 3 different kinds of domestic animals shall be maintained on any one residentially zoned lot. With limited exception, roosters (male chickens), guinea cocks, peacocks or other birds that by nature exhibit loud calls, are not allowed within the corporate limits of the city.
Domestic animals means all animals that have been tamed or domesticated such as, but not limited to dogs, cats, cattle, horses, hogs, goats, rabbits, sheep, chickens, ducks, geese, turkeys, pigeons, and other fowl or wild mammals or birds.
Ratite means domesticated large flightless birds classified as livestock under Kansas law, such as ostriches and emus.
Kennel means any premises where there is being maintained a total of 5 or more dogs or more than 2 un-spayed female dogs for business purposes, except veterinary hospitals.
Cattery means any premises where there is being maintained a total of 5 or more cats or more than 2 unspayed female cats, except veterinary hospitals.
Kennel and Cattery do not include foster homes operated under the auspices of rescue organizations licensed by the Kansas Department of Animal Health.
This information was found here:
http://www.wichitagov.org/Business/Licenses/D.htm
Good luck on the chickens!