Hi Bigstatistics, you are clearly insane which is a good start. I'd recommend starting with a:
-cheap box filter (around $10 from LFS = Local Fish Shop, not fish&chips) or hang on the back filter ($50+)
-the filter is powered by an air pump
-a heater (1watt/litre)
-a light (0.5watts/litre or more)
-some gravel (goldfish bowl sells some cheap sacks of the stuff bout $8 a bag)
-a few, and only a few, fish to start with. I'd recommend a few danios. you will need to keep these by themselves for 6 weeks while your filter grows beneficial bacteria on it. this is called cycling and there's info on this on the sticky thread in the main beginners section here. this bacteria converts the harmful wastes from the fish to safe wastes. aslong as you keep up with weekly water changes of around 25% min the safe wastes will stay safe.
as for the 4 plug, if the socket is below the tank, create a 'drip loop', this is where the cord goes from tank, to nearly the floor, then up a bit to the plug, that way if any water goes down the cord it will drip at the bottom and not into the socket. if this happens you will have fish fingers for dinner.
hope this helps