Will either be "Houston City University" or just "City University."
Of the two, the former makes perfect sense. The latter is pretentious and is just going to cause confusion.
The purpose of the name change is, among other things, to eliminate confusion with the University of Houston's main campus (the two schools are completely separate) and to raise the visibility of the downtown school.
By the way, had UH-D listened to me about a year ago, they could have saved themselves a lot of money in consultant fees. Thanks to Kuff for the shout-out!