10:39 AM EDT 07/06/2014

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Baptism

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Lenny Kravitz | Lenny Kravitz

Lenny Kravitz

Originally posted 05/21/2004 03:30PM

Fame, money, women – you'd think it would be all a rocker needs to get by, but for Lenny Kravitz, it's just too much. The musician – whose every hair style and clothes change is snapped by the paparazzi – sings "I Don't Want to Be a Star" on his new album, Baptism. "You miss the way it was before people were, like, hunting you," he says. But still, there are perks to being a big celeb. Kravitz (who's dad to Zoe, 15, with ex Lisa Bonet) recently chatted with PEOPLE about some of the pluses – including dating Nicole Kidman and living next door to Courtney Love.

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Filed Under: Baptism, Lenny Kravitz

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