UC Berkeley CoE vs CoC?

Hello everyone thank you for choosing this question.

I am thinking about going to UC Berkeley next year and I am still in the decision period about majors. I enjoy biology and science in general, AKA chem, physics, computer science, and math.
There are two majors I’m really thinking about: Bioengineering and Chemical Biology.
I do hear that the college of chemistry and the college of engineering are extremely hard to get into, but engineering in particular.
So I want to ask you what college is the most competitive and most impacted.

Thank you so much