1 Coulomb of charge per second is
a current of 1 Ampere
For every moving electron, there is a positively charged ion.
For every electron which goes out one end of the wire, another enters the other end.
The average speed of electrons in a typical current-carrying wire is very low --- typically millimeters per second.
Individual electrons move much faster but in random directions.
When a switch is opened or closed in a circuit, the potential diffeference which moves electrons through the circuit changes.
That change moves at nearly the speed of light.