They one going into the water pump does just push to install, but it has an o-ring on it to seal it. I just replaced mine a few weeks ago and the o-ring was very worn and stretched. I'm sure that'* the same problem for you.
Same story for the coolant elbow going into the intake. At least on the 94 there is a small bolt which holds this one in place though. You would never know it until you took it apart or looked very closely. I'm not certain it is the same on yours, but I believe so.
Follow the tubes back to near where they connect to the heater hoses. Mine had a few bolts holding them to the block to keep them from vibrating while driving.