Soldering is pretty straight forward, clean the solder pads with a pencil eraser, make sure you use non-corrosive flux, usually it is best to "tin" the parts before attempting to stick them together, on semi-conductor leads use a heat sink, position the parts together, heat them all with a well tinned iron tip, and don't move things or let things move for a couple seconds after bringing the work up to enough heat to flow the solder. Use a grounding strap when handling semi-conductors.

With that LED it's actually a module, sort of a mini PC board, pretty robust because it acts in part as a heat sink under operation. Make sure you observe the polarity requirements even a momentary polarity will fry it. In you design depending on how much power operation you anticipate you should consider mounting the module on some type of aluminum heat sink.

As far as some type of drive circuit I'm surprised you didn't get one from whoever put the kit together. But the best place to start looking is the device Data Sheets and you might very well find related device Application Notes from the manufacturer, just Google the device number and that should start you in the right direction. Looks like that emitting device is a Citizen device made in Japan

http://www.light.fi/assets/files/CL-L251-C4N1-C_P1170_0511_R1(0711)_E.pdf