You are in Florida so this is not so temperature and time controlled. You generally don't have to worry about it freezing over nite.
Drain the system using the drain valve on the bottom of the radiator.
Remove, drain and clean out the overflow tank.
Refill with tap water after adding a gallon of white vinegar or Prestone 7 hour flush to the radiator.
If you use the prestone drive it by the time specified on the bottle. If using vinegar I think 1 day or so. Depends on how crudded up the system is.
Remember to keep your heater all the way in the hot position.
Re-drain the system.
Change the thermostat with another 195F and replace the pressure cap.
Avoid the fast 15 minute flushes, every time I have use one of them I have ended up with the seal or the bearings or both going on the pump, I think they use abrasives to clean with in them.
Then refill the system with a 50/50 mix of Prestone Green and DISTILLED water.
You can go even futher and disconnect the heater hoses from the engine side then use tap water to flush the heater core, back and forth so you get flow going both ways, don't try to seal the garden hose to the heater hoses either, most house pressure is like 50PSI, that core is used to only having to deal with 18PSI, you may blow it up..
Change the t stat while your at it. A good way for checking coolent is a volt meter. here is mine it's ready for a change.
0.4v and up it's to acidic.
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All my jeep XJ and TJ FSM's up till 2000 specify ethylene glycol. Thats the green stuff.
That's interesting... The tag on the overflow bottle for my '02 states "Use of special coolant required" so I checked the manual and it mentions to use Mopar ..... with H.O.A.T. I have never owned a vehicle that had this requirement for A/F so this caught my attention.
Goodlife states that his Jeep is 5 years old so I assume he's got an '02. The specification should be the same for all '02 Jeeps no?