Apartments may be easier to land following a competitive summer.littlenySTOCK/Shutterstock Apartment prices were slightly cheaper in September than in August as interest rates fell. Rent may continue to slide during the quieter months for moving. Here are 14 cities where apartments are affordable and getting cheaper. Rent inched lower in September as the unofficial moving season starts to wind down, but apartment prices are still near all-time highs.The going rate for an apartment in one of the 100 largest US cities fell ever so slightly this month, real-estate site Zumper found.