Furnished Apartments For Rent In Burlingame Ca . Best locations in burlingame (2) burlingame caltrain station; 1 room minimum 1 month, nov 07. The Arlington Furnished Housing, Extended Stay, Corporate Apartment from www.keyhousing.com 1 apartment available for rent in burlingame, ca. California san mateo (peninsula) (47) burlingame (9) $ 994/month room. Find your next apartment in burlingame ca on zillow.