Cheap Apartment For Rent In Missouri . A rental apartment in this town is on the average $1,383. View photos, floor plans, amenities, and more. Affordable Apartments & Section 8 Housing for Rent in Kansas City Missouri from www.affordablehousing.com A 1 bedroom apartment as an average costs $912 and ranges from $300 to $1,936. 1405 n 16th st, saint louis, mo 63106. View apartments for rent in claycomo, mo.