The term 'Big Name in Riding Mowers' refers to two major companies in the industry: TORO and Deere. TORO is a four-letter company that has been in business since 1914 and is known for its innovative designs and quality products. Deere is a five-letter company that has been around since 1837 and is renowned for its reliable and durable mowers. Both companies have become household names in the riding mower industry and are trusted by consumers worldwide.