As a proud product of Cerritos schools, I can attest to the exceptional quality of the school system. I've been to a lot of schools throughout LA and OC in my youth, and by far Cerritos harvested the best qualities as a student out of me. There is a definite competitive climate here that is not for everyone, and I can easily understand that, as there was a slight adjustment period for me. However, I also have to say I probably wouldn't be the same person without attending the schools here. Of course, as another person mentioned, Whitney High School is among the TOP high schools in the nation and is a public institution. I can't say that it's really any better than, let's say, Cerritos High School, but It is definitely much more vigorous. The other aspect of Whitney is that it runs from 6th-12th grade, where as other schools are K-6, 7-8, and 9-12.
What Cerritos also has going for it is that it is a very safe city, and definitely a nice bubble from the rest of LA. Whenever I come back to Cerritos, it is just a slower pace and much more tranquil than all the areas around it. It's truly nice to come home. When touching on the strategic location to the city, it is quite literally in the center of the LA/OC metro (about 25 miles to both Irvine, LA, Diamond Bar and Pasadena) so it's super convenient to wherever you have to go.
If you are looking at nearby areas, I would also urge you to consider adjacent Fullerton, north of Malvern Ave. Fisler Middle School and Sunny Hills High School are great options as well.
Anyhow, I could go on and on, but if you would like any assistance with no pressure, I would be glad to help. Cerritos is my home and backyard!