Rex is nothing special, it's probably your average community hospital. It was an acceptable job for me because it was close to home and made childcare/family life easier, but not someplace to stay if you have degrees and are looking for a forward moving career. UNC is taking over more high level decisions, which is probably a good thing. UNC and Duke are better choices for career minded healthcare professionals looking to work in a hospital setting, especially for non-clinical positions.
Stay away from the Cancer Center, it's a disorganized mess with inexperienced, non-functional management. You're not going to find the best and the brightest here. I would probably also avoid it as a patient.