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?

I'm majoring in CS just for shits and giggles. I would not want to do this for a living.

I'm planning going to grad school to be a librarian.