It should come out from the bottom, lift up the front end and support it on jackstands before you start working on it. Unhook the shroud from it and push it back for more room, drain the radiator. A neatness tip is to unscrew the transmission cooling lines if they still go into the radiator, and plug them off with a pair of short 3/8" rubber hoses, two 3/8" bolts, and two hose clamps before proceeding further. This will keep you from doing the rest of the job with a headfull of used transmission fluid.
In some cases, you may have to unbolt the sway bar from the frame so there is enough room for the radiator to come down and out.
Once it is out, it is a lot easier to replace the belt on the engine, so think about doing this if you haven't in the last couple of years.
Meddle not in the affairs of dragons, for you are crunchy, and taste good with ketchup.