Kelsey Grammer Moving to Beverly Hills

Kelsey Grammer has purchased a multi-million dollar house in Beverly Hills in part to be close to his kids ... TMZ has learned.

Sources tell us Kelsey was quietly looking at homes in the $7 million range and has settled on one he and his new wife Kayte really liked.

Kelsey has joint custody of the 2 kids he had with ex-wife Camille Grammer, and we're told he wants to spend time on the West Coast to keep his relationship with the children intact.