Considerations…
Do you care more about hardware or software?
CE is hardware. CS is software.
Are you already a pro at programming?
I was and I kind of regret not studying CE, because I might have expanded my knowledge a lot more in an area I’m less familiar with. And I actually am way more interested in software than hardware, however I recognize that it’s nice to have back-up knowledge in a complementary area because it expands career opportunities.
And when it comes to jobs, here’s the thing to consider. By and large, the majority of software jobs out there do NOT require much of what you learn in a CS major. This is regardless of whether they prefer to hire CS majors or not. For what it’s worth, I have never seen a job application ask exclusively for CS degrees.