Bill Rancic shared a sweet photo of his family on Instagram this morning. Bill Rancic gave fans an inside look at his at-home life on Thursday. Giuliana Rancic Slammed On Instagram For Being Too Thin On Instagram, the Apprentice alum was seen alongside his wife, Giuliana, and son, Duke, in a cozy photo from bed, which featured the family in their pajamas -- and sporting big smiles.