Apartments For Rent Oldsmar Fl . Fort lauderdale apartments for rent; This building is located in oldsmar in pinellas county zip code 34677. 313 Martha Ln Oldsmar, FL, 34677 Apartments for Rent Zillow from www.zillow.com Find the perfect place to live. The average home rent in this city is $3,137. 100 old village way unit 1221.37262.