There are many methods of coding a player movement. I wrote down two of them (the most convenient ones for my solution). Reminder here - I've been learning Unity for a short period of time so probably there are plenty better methods to do the PlayerController script for this solution :)
The first method is using Unity function AddForce
to a myRigidbody I've added force by Vector2. It will move acc. to forceFactor value
A second method it is function MovePosition
Here there is no physics (no forces) added. I just added vector value to the current position.