"Three-Phase Power" is industrial grade power supply! It consists of 4 wires. 3 'live' and one 'neutral'. Each live wire paired with the ground will typically provide normal AC (Alternating Current) of PD (Potential Difference) 110 volts (In the US anyway). The three seperate live wires are 120 degrees out of phase. So the PD between any 2 live wires is 208 volts.
Three-Phase is hardcore, and will provide the possibility of simple and cheaply constructed motors which are more powerful and in particular have more starting torque.
Obtaining a three-phase feed in a household situation (in a legal manner) will almost always be discouragingly costly, and mostly pointless... unfortunately!