Kawhi Leonard is officially on the prowl for his new home … checking out some of the best available cribs in Los Angeles … starting with an incredible $10 million pad!!

TMZ Sports has learned … the Clippers superstar has been lookin' for a place to hang his hat recently … exploring all the nicest houses L.A. has to offer (and there's a lot).

Leonard was spotted visiting a spot on the Sunset Strip earlier this week … and we gotta say, the dude has great taste.