Are Robert Pattinson & Kristen Stewart planning on moving in together?

WESTWOOD, CA - NOVEMBER 17:  Actor Robert Pattinson (L) and actress Kristen Stewart arrive at the film premiere of Summit Entertainment's 'Twilight' held at the Mann Village and Bruin Theaters on November 17, 2008 in Westwood, California.  (Photo by Kevin Winter/Getty Images)From engagements to babies, we’ve heard all the rumours about Robert Pattinson and Kristen Stewart. Here’s another one – they’re reportedly moving in together.

Apparently the Twilight stars are looking for a place to move in together in LA – a place very different to the Isle of Wight, where they were supposedly house hunting back in June 2009.

According to Showbiz Spy, a source reckons: “Kris has ratcheted up her plan to pin Rob down,”

“She’s been house-hunting in L.A. with the intention of getting Rob to move in with her.”

Speaking about Rob, the source said: “He feels so lucky, to have found someone so young, with such an old soul.”

Maybe now she’ll accept on of those marriage proposals, eh?