Everything in the Universe wants to move from a higher energy state to a lower energy state. The easiest example of this is that things get colder naturally not hotter (except for a few minor exceptions) this is the 2nd law of Thermodynamics. You could say that at the higher energy state they have more 'potential' than in the lower energy state and so there is a difference between the two: potential difference.
Try to apply this thing to potential difference within an electrical circuit setting.
For charge: there are 4 fundamental forces of nature, the strong and weak nuclear forces, Electromagnetic force and Gravitational. Things with mass experience a force when in a gravitational field, nucleons experience the nuclear forces (that's quite a complicated topic). You can imagine then what things experience a force when in an electric field, or what a thing must have to experience a force when in an electric field. How would reword this last point to be a standalone comment on what charge is?