From a reputation standpoint, the University of California is definitely considered to be the more prestigious institution, compared with the Cal State Universities. Of course individual Cal State U's may have good engineering schools...you would need to check into this. My experience with the UC San Diego was very good. However, the Lower Division courses tended to be quite large and held in large auditoriums. As a result, my best college experience did not occur until my Senior Year.
With regard to a good career potential, I can suggest at least two engineering disciplines: Civil Engineering and Computer Engineering.
Good Luck, Pete Sturtevant, PE