If your coolant has to be changed anyway (most of us don't do this nearly enough), then pulling it out isn't that bad. Follow Kennedy's idea, put a drain line on the radiator pet**** and drain the coolant.
Remove the upper brackets and pull the fan shroud.
Draw a diagram of the serpentine belt path, loosen the belt tensioner and pull the belt. Inspect it for wear/cracks (most of us don't do that nearly enough) and get a new one if necessary, undo the bolts on the fan clutch and remove the fan and clutch. Put bolts back in pulley & hand-tighten (or you'll lose 'em .. don't ask me how I know this)
Pull the hoses (yep, you're gonna want to replace the spring clips on the hoses with new hose clamps - I'm not sure I trust those spring clips when I put them back on.) Undo the coolant lines - put balloon or condom over ends of lines to stop dripping.
Lift it out, put it face down on sawhorses or 5-gallon plastic buckets, (someplace where you can just let the mess wash away... steep driveways are good for this, or that part of the garden you wish wouldn't grow anyway) and wash/soak/beer/wash/soak/beer/wash. Soak with foaming cleaner. Beer is for you.
While it dries, this is a good time to change thermostats (most of us don't do this often enough anyway), or do anything else with cooling system, like change the heater line hose barb (tick, tick, tick...GM time bomb) or put in a Balance-Flow)
Put it back together in reverse order (remember that serpentine belt diagram?). Add new coolant (some guys recommend crushing up some GM sealtabs and adding them at this point - probably a good idea) at 50/50 mix.
Burp.
Again.
Check for leaks.
Be cool.