The liquid feels like transmission oil, but when I run the car in neutral the coolant comes down almost like Niagara Falls from the same area or above the transmission. Is this the location where you get the transmission fluid changed and replace the filter? I had it done not that long ago and maybe they didn't tighten the bolts enoutgh.
The coolant shouldn't be anywhere near there. If it feels like transmission fluid, then its probably it. The transmission fluid pan is located further down the transmission.
Refill both coolant and transmission to full, and then over the next day, take a look at both fluid level and see which one is running short.
I do not remember everything on top of my head, but the installation should be the same when you took everything out. If you forgot the clamp, then reclamp. it I dont remember, but there might be an o-ring somewhere on the bypass house.
From the top of the engine bay, do you see it leaking anywhere? If so, take a picture of it. It's hard to tell which hose is leaking.
Most people have their water pump replaced when they do their 90k miles timing belt change, since both precedures requries removing a lot of the same engine parts. Usually timing belt jobs takes 6-7 hours. If you're doing the water pump only, then you're looking at the same 6-7 hour job.