Prince William, Kate Middleton and their three children are saying goodbye to their home at Kensington Palace, and moving to a new residence 30 miles away in the county of Berkshire -- home of Windsor Castle, where Queen Elizabeth II resides.A source told ET in June, «Prince William and Duchess Kate are expected to relocate this fall to Adelaide Cottage in Windsor. The couple have been looking at schools in the Berkshire area near Bucklebury, where Kate’s parents are and closer to the Queen’s home base at Windsor Castle.»The cottage is just a short walk from the queen's home, giving the family easier access to the 96-year-old monarch. For its part, Lambrook is known to be one of the top prep schools in the U.K.