Hi,

First, you need to remove the fan/clutch assy, if you haven't already. Then remove the upper/rear section of the fan shroud(it is two pieces). This will give you room to move the shroud rearward enough to clear the radiator...and give you a little more room to fight with the lower hose.
If the radiator has never been out of the car, it may be stuck to the radiator support pretty snug. But if the radiator will move easily, you should be able to pull it straight up and out.

I found the easiest way when I did mine was to take the top 2 bolts out of the radiator support from each side. Make sure you leave the bottom bolt in place but loosen it slightly. This allowed me to stand the radiator up by pushing the top of the radiator towards the front end. Then it was possible to remove the radiator. I reversed this to reassemble. (You do have to take the fan and clutch off first.) The radiator and shroud were the most frustrating thing Ive done on mine. Hope this will help. It did on mine.
Best of luck
Rodney

I've had my rad out two times in a couple months , Once when I put the new motor in and again last week when I replaced radiator. ( should of did it when I changed engine but I was out of allowance money) Even old folks run out of allowance. What Rod 7515 said is the only way to pull a radiator with a one piece shroud without throwing  wrenches. Once you get the two bolts out on each side of the rad support out and loosen the bottom two bolts, just push the rad support and rad forward and rad should come right out. If you decide to pull the shroud out after the rad is out and clean it, be sure to put the shroud back in before the rad goes in. My rad is a 4 core and almost takes two folks to take it in and out without smashing fins.. Good time to inspect your clutch fan assy if you have one.

OK, I got it out. It wasn't easy though. I loosened the radiator support and pushed it as far forward as I could. as recommended, but it didn't go too far as I have A/C and the condensor is on the front side. The biggest obstacle was getting the lower radiator hose outlet past the upper a frame, once past that it came out.