Princess Diana’s brother, Charles Spencer, made sure to give nephews Prince William and Prince Harry a heads-up about his personal new book. “I told them at the same time. … I can say that Harry is completely fine about it,” Spencer, 62, told People in an interview published Monday, September 21. “He said, I hope there’s nothing embarrassing about him in it. I said, ‘There isn’t.’” In his new memoir, Swan Song: Diana, My Sister, Spencer explores his tensions with former brother-in-law King Charles, his bond with Princess Diana and her struggles living in the public eye before her death. Spencer believes some family members were concerned…