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Katy Perry showed off the girls at the Palladium in Holllywood where she attended the Mika concert last night. She took time to sign autographs and pose for fans with photos.

The singer must be on a love high. The rumor is that Katy and Russell Brand are looking for a home together in Los Angeles. The couple was said to be eyeing a 5000-square-foot apartment in the Hollywood Hills, with an open-plan kitchen, hot tub and a dog yard.

“Like a lot of celebrity romances, Russell and Katy have totally dived in at the deep end, but they’ve completely fallen for each other,” the Mirror quoted a friend of Brand as saying. Katy’s just the girl to keep Russell on his toes and he’s completely head over heels for her. He keeps telling us he’s never met anyone like her and he knows she’s the one for him.

“He’s 34 now and has been playing the field for years now and he’s thinking this could be the time to settle down and maybe think about starting a family,” the friend added.

Gallery Info: Katy Perry seen leaving a Mika concert in Los Angeles on October 23, 2009