Parts Needed
You should always, always, always use an OE Mopar radiator when replacing your radiator. They will last longer than any radiator out there, guaranteed. The radiator you need will depend on what year, engine, and transmission your Jeep Wrangler TJ is. See this thread for a breakdown if which radiator you need based off your year, engine, and transmission: Jeep Wrangler TJ Cooling System Overhaul FAQ. That thread also has a number of other parts you should replace while you're in there, as well as lots of helpful information pertaining to refreshing your cooling system.
What kind of coolant should I use?
In my opinion you should be using HOAT coolant in your Jeep Wrangler TJ. Hybrid Organic Acid Technology (HOAT) is a combination of IAT and OAT. Several manufacturers are using HOAT for their vehicles. One version is dyed orange and contains 10% recycled antifreeze. Another version is dyed yellow and does not contain any recycled antifreeze. Both of these HOAT antifreezes use the marketing designator of GO-5. They are compatible with each other but mixing them with IAT or OAT is not recommended. The normal HOAT antifreeze service life is 5 years or 150,000 miles (250,000 km).
A perfect example of a good HOAT coolant for use in your Jeep Wrangler TJ is the OE Mopar coolant or Zerex G0-5. It may be a little pricier, but it's generally going to last longer and be better for your cooling system.
How much coolant should I use?
See this thread for fluid capacities (it varies depending on which model TJ you have): Jeep Wrangler TJ Fluid Capacities
A note on later model thermostats from @mrblaine:
The later Mopar thermostats and others of similar design have changed the bleeder hole to be nearly non functioning. We've noted the change in the self burping function many times and finally resorted to drilling a 1/8" diameter hole next to the jiggler which solved the problem and made them work as before. The later ones are not self burping in the least until you fix them.
Procedure
Here's a YouTube video that details the process:
You should always, always, always use an OE Mopar radiator when replacing your radiator. They will last longer than any radiator out there, guaranteed. The radiator you need will depend on what year, engine, and transmission your Jeep Wrangler TJ is. See this thread for a breakdown if which radiator you need based off your year, engine, and transmission: Jeep Wrangler TJ Cooling System Overhaul FAQ. That thread also has a number of other parts you should replace while you're in there, as well as lots of helpful information pertaining to refreshing your cooling system.
What kind of coolant should I use?
In my opinion you should be using HOAT coolant in your Jeep Wrangler TJ. Hybrid Organic Acid Technology (HOAT) is a combination of IAT and OAT. Several manufacturers are using HOAT for their vehicles. One version is dyed orange and contains 10% recycled antifreeze. Another version is dyed yellow and does not contain any recycled antifreeze. Both of these HOAT antifreezes use the marketing designator of GO-5. They are compatible with each other but mixing them with IAT or OAT is not recommended. The normal HOAT antifreeze service life is 5 years or 150,000 miles (250,000 km).
A perfect example of a good HOAT coolant for use in your Jeep Wrangler TJ is the OE Mopar coolant or Zerex G0-5. It may be a little pricier, but it's generally going to last longer and be better for your cooling system.
How much coolant should I use?
See this thread for fluid capacities (it varies depending on which model TJ you have): Jeep Wrangler TJ Fluid Capacities
A note on later model thermostats from @mrblaine:
The later Mopar thermostats and others of similar design have changed the bleeder hole to be nearly non functioning. We've noted the change in the self burping function many times and finally resorted to drilling a 1/8" diameter hole next to the jiggler which solved the problem and made them work as before. The later ones are not self burping in the least until you fix them.
Procedure
Here's a YouTube video that details the process: