Downtown Paducah Apartments For Rent . 35 gettysburg square rd, fort thomas, ky 41075. 905 jefferson st, paducah, ky 42001. Small Houses For Rent In Paducah Ky ABIEWOP from abiewop.blogspot.com With its charming historic downtown, active community spirit and excellent school system, many families are finding their new home in paducah apartments for rent. 430 adams st paducah, ky 42003. Just 2 blocks from the ohio river.