Kim Kardashian & Kanye West -- Hunting for $10 Million Miami Mansion

Kim Kardashian is ready to MOVE IN with Kanye West ... and the two are now officially on the hunt for a home together in Miami ... TMZ has learned.

Sources connected to the couple tell us ... K&K have been talking about getting their own place for a couple of months ... and believe Miami is the perfect location because they both love the city.

Plus, Kim will be in town for the next couple of months to shoot a reality show with Kourtney.

We're told the Ks checked out 4 homes yesterday -- all waterfront properties -- and the mansions all ranged between $7 and $10 MILLION.