The general definition of a current is a flow of charge. An electrical current is the number of charges that flow past a set point in the circuit in one second.
We use an ammeter to measure currents. It tells us how high or low the current is by measuring the amount of charge which flows through it.
We describe the direction of the current flow as the direction that positively charged particles would flow. We still follow this convention described by early scientists even though we know electrons flow in the opposite direction.