You can melt solder with an soldering iron. Using heat gun... Ouch. That's like washing your hair with a pressure washer. I'm not sure about wicking the old solder though. Lots of kits have stuff to wick the old solder, I just haven't done it before. I also haven't soldered anything finer than 10ga wire. Good luck.
Try finding a community college engineering student? I bet one of them is decent with a soldering iron and won't charge much.