Make sure that you choose a university that is accredited by ABET (Accreditation Board for Engineering and Technology). This assures you that you can apply to become a PE (Professional Engineer) after 5 years of working as an engineer. Next you should try on a school to see how it fits. Go there, talk to some students, think about want kind of environment you like (big/small; engineering only campus; research opportunities).
As far as getting into grad school and getting a job, I would talk with all of the universities that you are interested in and ask them where their students go to graduate school. Ask them how many go to each school and how many go to graduate school in general. I would be happy to give you feedback on specific schools.