Kirchhoff's Current & Voltage Laws
Hopefully this puts the two laws in somewhat simpler forms for you;

Kirchoff's Current Law states (as you have probably seen) that the sum of currents entering a node is equal to the sum of currents leaving it. Think of a junction of water pipes where three pipes meet at a T-shaped junction. The flow of water into the junction must be equal to the flow of water out, otherwise water would be appearing out of nowhere. Similarly, in an electric circuit the flow of charge into the junction must be equal to the flow of water out, otherwise charge would be appearing out of nowhere.

Kirchoff's Voltage Law is probably the trickier one to understand. Basically it says that if you start at a node in a circuit and you follow some closed loop around the circuit back to the same node you have to be at the same voltage you started at. A mathematician would say this is because the electrostatic field is conservative. In more understandable terms, it is because voltage is a potential difference i.e. the difference in potential energy a charge would have if you moved it from one point to the other. A good analogy here is gravity, a mass has gravitational potential energy proportional to its height above some reference, say sea level. To change the potential energy you move the mass up or down, it doesn't matter what path you take between your two end points. I might move a mass 100m up then l00m to my left and then 100 m back down to the height I started at, the mass has the same gravitational potential energy I started with because it is at the same height even though it is in a different position. Relating back to electric circuits, if I move around a loop in a circuit, I end up back at the same 'height' with the same voltage.