Thanks wizzer and dfluitt! Your descriptions were just enough to allow a person with very little car experience and no soldering experience to complete this with absolutely no problems! I just took a celebratory ride while getting the first AC out of my car in 6 weeks. Goodbye to driving on the highway with my windows down!
To anyone who may be unsure of their ability to complete this project: If I could do it, anyone can! It really wasn't difficult at all, although it took me closer to 3 hours to complete it as I had to keep checking this forum to make sure I was doing it correctly
This thread has become all the proof anyone needs that the internet is an irreplaceable tool when it comes to do-it-yourself projects and not getting fleeced by car dealerships. I actually never even took my car in to get it checked out as once I started with constant heat I found this thread with its wealth of information.
Thanks again to everyone who helped to contribute!