India, March 31 -- S inger-songwriter Harry Styles and actor-singer Zoe Kravitz are reportedly growing closer, as the singer prepares to kick off his tour in May. "He was staying with her while he was in New York City, and they're committed to making things work when he goes on tour," said a source quoted by Entertainment Tonight. They added, "Zoe is very into Harry. She finds him funny and endearing. And Harry has always thought Zoe was gorgeous and cool." The relationship has also reportedly struck the right chord with Zoe's family, with Harry already meeting her parents. "Her parents are big fans of Harry and get along with him well," the source added. Harry, 32, and Zoe, 37, sparked dating rumours last August after being spotted kissing in London. They were later seen walking arm-in-arm in Rome and, by September, they were often spotted stepping out in coordinated outfits in New York. HTC...