Be realistic on your chances to top schools as a transfer. As noted, apply widely and understand that for many transfer students, financial aid could be lacking. Do you have a specific budget?
If you will be attending a CA Community college, then I highly recommend you TAG to one of the UC’s that participate in the program. You are guaranteed admission as long as you complete the required courses and maintain a specific GPA.
Below is the UC TAG chart that is fairly comprehensive in terms of requirements for your transfer. For ME, UC Merced, Riverside, Santa Cruz, Davis and Irvine are the TAG campuses. UCSB does participate in TAG but Engineering is excluded.
https://admission.universityofcalifornia.edu/counselors/files/tag-matrix.pdf
Also a link to UC transfer GPA by major, since you mentioned UCB. You will be needing a transfer GPA of 3.8-4.0 to have shot at UCB and many of the other competitive schools you are targeting.
Transfers to some of the schools you listed are more difficult than applying as a Freshman.
For Caltech 2021, 127 transfers applied and 5 were admitted
For MIT 2020, 623 transfers applied and 21 were admitted.