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Katy Perry & John Mayer House-Hunting in L.A.?

James Devaney/WireImage(LOS ANGELES) -- Katy Perry and John Mayer have been together for all of four months, but they're reportedly ready to take their relationship to the next level: the British tabloid The Sun claims the couple is house-hunting in Los Angeles.

The paper claims that the couple hopes to be moved into their new rental around Christmas time, but they're facing a lot of opposition from those around them.  A source tells The Sun, "Lots of people are willing them to fail. They [fight] a bit and have quite a turbulent up-and-down relationship ... Many of her friends are certain it will all end in tears. But that’s brought them closer in a way. It’s given them an ‘us against the world’ mentality.”

According to the source, the two musicians are "together virtually every day," and spend their time cooking, watching movies and playing music. The couple was spotted together in Katy's hometown of Santa Barbara, Calif., two weeks ago, and the source claims Katy even introduced John to her parents while they were there.

"[It] was a huge step for Katy and it proves she’s 100 percent committed," claims the source. "Despite what the cynics may think, she is looking forward to moving in with John and says she’s happier than she’s been in a very long time.”

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