The new French president, François Hollande, said Saturday that he had told those close to him to keep their private lives private and to resolve their conflicts away from the news media. Mr. Hollande, who campaigned for France’s highest office on a pledge to be “a normal president,” has been embarrassed by the evident strain between his partner, Valérie Trierweiler, and his four children, whom he fathered with a former Socialist presidential candidate, Ségolène Royal. “Private affairs are resolved in private,” Mr. Hollande said in a 45-minute, nationally televised interview on the French national holiday Bastille Day. “And I have...