CSUN to UC

I came into CSUN with 21 credits, after this summer i will have 56 units.
Current GPA: 3.7 (but most likely getting straight A’s this semester and over the summer)
Major: Political Science
Extracurriculars: Intramural Basketball, Volunteering/Internship at a Law firm, soon to join Model UN, work 5 days a week at a restaurant
I want to transfer to UCSB or UCI, but i’m concerned about the unit cap because i wont be able to transfer until Fall 2017. However, by then if i maintain my progress (15 units sem), i’ll have 85 units before Fall 2017.
I am just unclear about the whole transferring process and any advice or help would be very much appreciated.

Also planning on joining PSSA, and Pre-Law Society, if that makes any difference