I grew up in Chino Hills and can tell you the Chino Valley School District (which includes the Chino and Chino Hills schools) is NOT a great school district. I think we're something like the poorest district in the area (I know, it's surprising when you see that Chino Hills is such a nice and upper-middle class area but it's true). Even our Valedictorians/Salutatorians only got into UCLA and Berkeley, we have maybe one person a year getting into Stanford and very very very rarely an Ivy League school. As far as other districts - I know Diamond Bar and Walnut have really good schools, but I don't know much about Claremont. Ontario is pretty bad also, Chino is terrible.
Basically, just don't make the mistake of sending your kids to school in Chino Hills. Lots of people just assume that since it's a nice area, newish, upper middle class/upper class and we have lots of Asians/Whites here that the schools are also good - they aren't. (I know I sound sort of bitter, but my parents stayed here because people said the schools were great, but that wasn't the case).
Home prices are insane anywhere you go in Southern California so you can't really base it on that (because everyone loves it so much here they don't want to leave!).
Anyways, best of luck to you, I'm sure everything will work out!
--Snuffles04, DO2009 (COMP)