About Big Bounce & Slide City Big bounce has been serving the metroplex for over 14 years, with thousands of satisfied customers. We were the first inflatable company ever allowed on the field in the new cowboy’s stadium. Big bounce is the chosen supplier for the Texas Rangers during fanfare days and private parties at the ballpark in Arlington. No party is too big or too small for us we cater to the single family as well as corporate, school and church events. We strive to meet any budget; our aim is to satisfy each customer completely.