I presume you've found this? It's a great start.
http://www.soliwiki.com/E3D_extruder
Heater cartridge red wires join to red connector (polarity / which way around doesn't matter).
Thermistor joins to blue connector, again polarity does not matter.
Fan should be always on, so can be spliced to the fan on the back of the extruder stepper - red to red, black to black.
The wiring is a bit of a hidden task with this one, although it looks simple doing it well can be fiddly. Everyone has a slightly different idea about what it the right way too. I chopped off my connectors, I ran the red wires from the e3d heater cartridge through the sleeve and all the way back to the board with a new connector there. I put in new thermistor wiring in the same manner. The connectors on the board side are pretty common, you should be able to dig around in an electronics store and find some new ones that match.
You say you're new to wiring - it is possible to order crimp terminals to replace the ones from the solidoodle hot end, which you can crimp (squish) on with a pair of pliers. Search this forum to find out more about those.
Also, bootlace ferrules (search it on google/ebay) make nice joints without solder where you need them. Otherwise, you may need access to a soldering iron (they're not expensive, but cheaper is borrowing a friend's), and have a play with that (this is what I do, it's very handy).
In any case, good luck, and don't be afraid to ask further questions!
SD3. Mk2b + glass, heated enclosure, GT2 belts, direct drive y shaft, linear bearings, bowden-feed E3D v5 w/ 0.9° stepper
Smoothieboard via Octoprint on RPi