>>11221153CS is much more competitive, but the stakes are higher with FAANG companies and such. You'll have to be able to do programming interview questions and have a lot of project experience. Tech jobs are often in urban areas with like 300 other applicants.
EE on the other hand means you can apply to both software and hardware jobs and internships, and from what I've seen they aren't as hard to get.
Both can provide access to the real good sub-fields (AI, Machine Learning, Computer Vision)