The 1st gen Integra is the bastard stepchild of all Honda products. If you'd gotten a '90 instead of an '89, your life would be a whole lot easier.
The ZC has more power, but I don't know why. Probably better intake manifold, maybe higher CR pistons n' whatnot.
Both will physically bolt in. Wiring is another matter.
Stock you should have a D16A1.