Furnished Apartments For Rent In Bossier City . As of june 2022, the average apartment rent in bossier city, la is $600 for a studio, $954 for one bedroom, $1,342 for two bedrooms, and $1,248 for three bedrooms. Search by city, state, property name, neighborhood, or address. Large Furnished En Suite Bedroom Houses for Rent in Bossier City from www.airbnb.com Siegel select bossier city offers affordable furnished apartment rentals close to shreveport, louisiana. 5005 e texas st, bossier city, la 71111. Monthly rentals in bossier city.