http://www.youtube.com/watch?v=AOdnGUMi7lQ is the tutorial I used for learning to solder. Personally, I prefer the leaded solder. It melts at a lower temperature and is generally easier to work with. Don't eat the leftover scraps of solder.
Don't get cheap wire strippers. Get a good set. I use Klein myself, and they work great.
Flux is a mixture of chemicals that you either apply manually, or is included in the solder itself. It aids in cleaning oxidation off parts, and improves the melting and wetability of the solder. The solder is the metal portion.
ALWAYS tin your wires first. Trust me, it helps a ton.
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