I just did mine a couple weeks ago in my 96, I was a little hesitant at first but it was really easy. Im not sure how much room you have in the 89, but I needed to take out the radiator to get some working room. I decided to upgrade the radiator to a GDI 3 core at the same time, since it had to come out anyways. Might as well put in a new factory thermostat & hoses while its all out.
I started with needing a pump, but instead replaced the whole system. Only cost $230 for the whole deal, about as much as taking it to a mechanic to get the pump replaced.
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Took fan stuff off, bagged it. Took off the bolts for the top plate, bagged em and set it aside.
Pulled hoses & took radiator out. Let the tranny hose lay there, just a little trans fluid seeped out - nothing to worry about.
To get the water pump pulley bolts loose, I put the ratchet on then smacked it with a hammer while the belt was still tight. I left the bolts loose until later.
Take the tension off the belt then do the steering pump next. I left it on by removing the bolts that go through the water pump, but only loosening the three bolts on the top so that it hangs by those. With the 3 bolts on top backed out about 1/4-1/2 inch you should be able to move the steering pump back and forth enough to get the water pump out.
Then just pull out the water pump bolts & thermostat housing.
Clean the crud off, then re-assemble.