Nick, first off, you need to talk to the dealer after YOU take the loader off. The 770B IS a Quick-Tach loader. That is what makes it a 770B instead of a 770A which was a fixed frame loader.
You remove it as follows:
1. Park on a level surface with loader bucket flat on ground.
2. Loosen retainer anchors on the bottom of the loader uprights, #11. Remove the pins in the front subframe hooks, #20
3. Start the tractor, pull loader valve to lift position. The loader frame will rotate around the front subframe posts. Rotate the loader frame and back away slowly until the front frame turns down and acts as a stand. Watch your loader hoses so as not to snag or pull too far out.
4. Once the frame is down, shut the tractor off. Jiggle the loader control all ways to relieve pressure in the loader lines. Make sure the lines are marked or mark them to make installation easier. Remove the lines from the quick couplers.
To install:
1. Drive up to frame/stand.
2. Shut the tractor off. Couple hoses back to hydraulic lines.
3. Start tractor and move loader control to lowering position. As loader frame rotates over front frame posts, drive forward slowly until the frame hooks seat on posts. Continue to rotate the rear frame down onto the subframe until seated and you can lift the bucket off of the ground slightly.
4. Pin the loader frame hooks and tighten the rear frame anchors tightly.
5. After operating tractor awhile, go back and tighten the anchors.
Now, if you want to change the water pump, you'll want to remove the side shields and hood. Drain the cooling system, remove the radiator hoses, unbolt the radiator on the bottom on either side and any other supports on top/sides. Lift radiator out of tractor. Loosen the alternator and remove the fan belt. Remove the fan and water pump.
The water pump runs about $160. new from NH. You should probably change your thermostat and the 'L' shaped bypass hose at this time as well. Inspect radiator hoses, radiator cap and fan belt at this time to consider replacing. Replace the coolant with premixed or 50/50 mix of SCA added diesel coolant.
Good luck!