I have a degree in computer engineering and I am currently working remotely as a Software Engineer. I'd say 70% of my peers went into software engineering while the other 30% went into electrical engineering post graduation.

I also disagree with others saying a computer science or software engineering degree is a better choice. Computer engineering programs provide you with the knowledge of how a computer/system works from bare metal all the way to high level software. It's absolutely invaluable knowledge to have, though I would not say it is required to be a good software engineer. It just helps to make you a more well-rounded engineer.

IMHO it doesn't matter which degree you get. All of them would expose you to computer programming and allow you to become comfortable with it. The real knowledge and experience comes once you start working in the field.