Sounds like power steering (very very very common leak). Check the power steering fluid reservoir (passenger side). Grab the hoses underneith it.
10 bucks your hand is all dirty and covered in oil now. There's your problem.
If not, check the boots on the steering rack. Seals on the "rack" part of the steering system go bad and leak fluid into the boots that stretch with the tierods. Fluid sits in those boots and leaks when you turn.
Oh yea if its none of those its either a leaky water pump, a leaky thermostat housing, a leaky radiator (big possibility), or leaky oil pan gasket. Why don't you see which fluid is low? To me that seems like simple troubleshooting.