Baby Equipment Rentals in Bridgeport, CT Traveling Baby Company is a one stop shop for all your baby equipment rental needs. Their extensive network of baby equipment providers are committed to providing quality baby equipment rentals that are clean, safe and easy to use. They rent everything you will need for traveling with a baby such as cribs, strollers, car seats, high chairs, toys and much more. Experience the ease of traveling with children with brand name baby gear delivered straight to your door throughout Bridgeport, CT. Including but not limited to cities such as Hartford, Bridgeport, New Haven, Stamford, Waterbury, Norwalk, New Britain, Greenwich and Bristol in Connecticut.