The couple - who recently announced they are expecting their first child together in June - are reportedly now the owners of a 9 290m² home in the private gated community in California after wanting to re-vamp it into an Italian-style villa.
According to gossip site TMZ Kim, 32,
and Kanye, 35, have already started developing the property to fit their needs and are planning to install a gym, movie theatre, bowling alley, hair and make-up salon, indoor and outdoor pool and their own basketball court.
A source revealed to People magazine: "It's so exciting for them. The house is gorgeous. And they really wanted and needed the privacy."
Sharing their pregnancy
The luxury neighbourhood is already home to stars such as actress Jennifer Aniston and founder of the Girls Gone Wild entertainment franchise Joe Francis.
Kim and her rapper boyfriend were recently said to have turned down a $3m magazine offer for the first photo spread of their baby and the reality star has also been offered $250 000 to host pregnancy website MyPregnancy.com.
The pair are, however, said to be sharing their pregnancy and parenthood on Kim's show Keeping Up With The Kardashians and spin-off programme Kourtney and Kim Take Miami.
E! Entertainment network president Suzanne Kolb previously said: "Kim and Kanye are an incredibly dynamic couple, and their baby news is just so exciting.
"Like so many Kardashian fans, we love it when this close-knit family gets even bigger. We look forward to sharing the joy as they prepare for more diapers, more bottles and without a doubt, more fabulous baby wear."