The Staybridge Suites Tampa is ideally situated just over ten miles from downtown and is in close proximity to Tampa International Airport. Located near prominent businesses as well as many area attractions, our pet friendly extended stay hotel provides easy access to downtown shopping and attraction.s Staybridge offers (3) different room types to suit your needs: Studio Suites, One Bedroom Suites and Two Bedroom Suites each equipped with full kitchens, comfy living space, and our full breakfast buffet is included daily.