@college_bound25: I’m assuming from the forum you’re posting in that you already have an appointment to USNA, so we can skip any info about the process.
Then UCLA, full stop.
You do not attend a service academy to spare your parents the cost of college. Take that calculus out of the equation. If they are willing and able to pay for UCLA, you have your answer.
The Navy will determine where you serve regardless of the degree you earn there. You may end up serving in a nuclear capacity, you may not, or may not right away. You have very little control over this.
USNA does not have a chemE program, so UCLA wins there, too.
Your service time will depend on your MOS (Military Occupational Specialty); five years is the minimum. Our son’s commitment out of West Point was nine years beyond his time at the academy.
I see nothing in your post that would encourage me to advise you to select USNA over UCLA. You may want to read through this thread where we helped a poster think through the decision between a service academy and a civilian college.