Calculate your UC GPA here: http://rogerhub.com/gpa-calculator-uc/
Freshman profiles from both Cal and UCLA to give you an idea:
http://admission.universityofcalifornia.edu/campuses/berkeley/freshman-profile/
http://admission.universityofcalifornia.edu/campuses/ucla/freshman-profile/index.html
Basically, you need to be around (preferably above) those stats to have a solid chance. That’s not to say there’s no chance of getting in if your stats are significantly lower; it just means that there isn’t a very high chance and you shouldn’t bank on getting in.
You’re right about the test scores, and hopefully you do get to 2000+ when you retake the SAT. A 3.93 is on the low side for Cal and UCLA, but that’s if it’s your UC GPA. Calculate your UC GPA and report back and it will give a better idea what your chances are.