What actually flows, current electricity or charge?
Actual electricity is more like sound rather than wind. The air molecules significantly move for wind, and although the particles kind of move for sound, what it really moving in the way we care about is the wave moving through the particles.
So the electrons do kind of move in electricity, but it's really the wave that is moving. In other words, an individual electrons isn't moving back and forth between your house and the power plant 50 or 60 times per second.