Apartments For Rent In Seffner Florida . Has rental units starting at $2020. 4 beds • 2 baths. 11012 Black Swan Ct, Seffner, FL 33584 2 Bedroom House for Rent for from www.zumper.com 910 lake shore ranch dr, seffner, fl 33584. Apartments for rent in seffner, fl. 483 apartments rental listings are currently available.