One advantage of IntelliJ is that Android Studio is based on it, so after using IntelliJ, you'll probably feel more at home creating Android apps. Just this year IntelliJ's popularity overtook Eclipse (for the first time). See: http://zeroturnaround.com/rebellabs/java-tools-and-technologies-landscape-2016/
That said, I think Eclipse is still an excellent IDE, and still has about 41% market share, to IntelliJ's 44% (according to one poll). I think Eclipse is a solid choice in general. If the tide continues to shift toward IntelliJ, the CSC department could decide to make the switch in that direction. I doubt that we would go with NetBeans, although it does have much better JavaFX support than Eclipse as I recall.
In the end, the choice of IDE, no matter how many "intelligent auto-complete" features it has, is not nearly so important as the ability of the programmer to write good quality code and design good-quality software.