W123 Coolant (Bypass?) Hose Replacement

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I've searched around but not knowing the correct name for this hose is netting me little in results.

What I'm referring to is the approximately 3" long coolant hose, about 1.5" in diameter. It connects the water pump to the thermostat housing (I believe the thermostat is in there) on the front of the engine.

Anyhow, what I'm trying to figure out is how much cussing will it take to replace that hose? At first I thought it was a two minute job but upon closer inspection it appears that I will need to remove the water pump as the thermostat housing seems to be cast right into the head.

Someone else must have experience with this, I can take a picture if my description is insufficient.

Thanks!