What is the difference between power and current?

It's the difference between pressure and flow. The pressure is measured in volts, and the current in amps.
Current is the flow of electrons.

Power=VIcosϕ

V=voltage

I=current

Cosϕ=cosine of angle between V and I

Current is a drift of electric charge, expressed in amperes. Power is the rate of doing work, expressed in watts (equivalent to a joule per second).