Computer Science vs. Computer Engineering

I'll assume most of you programmers have a CS degree. However computer engineering is starting to interest me more, mainly because I hear engineers earn way more. In the course catalog both degree programs share a lot of classes, with CS focusing more on languages and CE more on hardware. I'd like to code, but I'd like a good salary too. Also (dare I ask), where does the title "software engineer" fit under, CS or CE?

Xarn recently painted and re-designed his bedroom, which was (IMO) quite a good job. Xarn is an active blogger and makes millions of dollars a day from his collection of porn sites that he developed.