I put 2 old washing up bowls under the car (had to heighten it a bit with a jack). Then undone the lower rad hose and let it all pour out. Then remove all the other hoses, make sure youve got some decent pliers/mole grips to remove the old retaining clips. Watch the top pipes around the thermostat as you dont want coolant leaking onto and getting into your gearbox. Open the bleed screw completly on the thermostat and put a old towel under it. Fit the new pipes ensuring that suitable sized jubilee or mikalor clips are used.
On the heater matrix that goes into the bulkhead there are 2 pipes, on the 172mk1 they have metal push type connectors, im not sure if the later 172s have these. you will have to remove the connector bits off the pipes by using a decent grip puller or getting clever with a dremel. Once these are removed the new pipes will easily slide over the pipes and can be clipped on.
Clips removed:
Once its all sealed and tigtened pour coolant into the bottle slowly, keep watching the open bleed screw. After bubbles/spitting and then constant coolant flows out the screw close it and continue to fill the bottle to the max mark.
Now go for a drive to test for any leaks and top up the bottle if needed.