I recommend a good weller pencil. Get something that feels comfortable in your hands. Also, unless you have some old stuff laying around, solder these days does not contain lead. You will be able to tell a bad or cold solder joint by visual inspection. A good joint is generally smooth and shiny. A cold solder joint has a rough appearance. The bad solder joints can be remedied by simply resoldering the joint. I also recommend you procure a sponge and stand for your iron. A solder sucker and solder braid for removing solder would be handy also. Your hairdryer will probably not be hot enough for heatshrink tubing but you can use a lighter in a pinch being careful not to hold the flame too close to the heatshrink tubing.
How about a soldering thread?
There's one thread with some good tips on soldering i.c.'s, but like many, I'd like to tackle the Homegrown cable kits. I suppose the instructions are good but I know from teaching hand cutting dovetails that there are things I do, things you don't hear about, that make the job easier and the joints more precise. Things like spending ten minutes turning a crosscut into a ripsaw, making chisels "scary sharp" and finding the inside and outside of boards.Let's hear from some veteran kit builders, please.