Nicky Hilton’s relationship with British banking heir James Rothschild is going from strength to strength. The pair have been spotted out around town this week at various hot spots, including Serafina in the Meatpacking District, PH-D at the Dream Downtown and Lavo in Midtown. A source said, “They have a lot in common, and have been meeting up in LA and London.” Hilton met Rothschild at Petra Ecclestone’s lavish wedding in Italy last year.