I believe the "double wound" end goes over the guide rod. Just make sure the nail head-shaped part of the guide rod isn't able to slip inside the spring and start screwing itself out.
As far as the trigger pull/slide takedown issue, try pulling the trigger with the slide completely in battery. Next, pull the slide back a little and then ease it forward again (all with the trigger still depressed). May take a little wiggling, but I've never had any big issues with it. And always double, triple, and quadruple check that the chamber is empty.
DR, thanks for the info on the takedown block and sharpie...great stuff. I had no idea such things existed (well, I knew sharpies existed, but I didn't know you could use them like that). Still, it irks me just a little that I need extra pieces of equipment to field strip a modern handgun. Guess I'm just spoiled by Sigs, Berettas, and Glocks.
Regarding cleaning, maybe someone could point you to a good website on taking care of semiautos, but here's what I do:
I usually just use CLP (or similar), a boresnake, and a rag. First I disassemble, spray cleaner down the barrell, and use the boresnake. Then I make sure the feed ramp is clean and shiny using the rag and CLP. Same treatment to the outside of the barrell, muzzle, and any other relatively flat surface that have fowling or grit (inside of the slide, inside the frame, slide rails, etc). Sometimes I run the rag carefully down the magazine well if it's cruddy.
Then I reassemble, lube contact parts with CLP, and wipe off the excess CLP. I spray a little on the rag (which is sort of saturated by now anyway, and wipe down the exterior.
I cycle the action a few times to make sure it's put back together right and then wipe it down again with a clean part of the rag.
Hope that's useful info. I'm not a neat freak about it, so you may want to look at special tools like picks, compressed air, etc.
LG