What is electricity?
a. the movement of electrons due to a difference in electric potential energy.
b. the movement of protons due to a difference in electric potential energy.
c. the movement of neutrons due to a waterfall. (i know it's not this one.)
d. the movement of electrons due to kinetic energy.

This question is full of misleading, marginally meaningful phrases.

The question itself should be asking about "electric current", not "electricity".

The term "electricity" certain includes static electricity, where NOTHING moves.

Of the choices offered, choice 'A' is the closest.  But it should say
"electrical potential", NOT "potential energy".

Each of the other three choices is absurd.