Simple FPS camera movement in Unity

I started a new project. It's a simple FPS game. Tutorials are often outdated so i started to write it on my own.

The player's movement is fine. The camera's is not. I store all my data values in a data class

public class CameraMovementData : CameraCommonData // datastore
{
    public float InputHorizontal { get { return Input.GetAxisRaw("Mouse X"); } } // horizontal mouse input

    private float yMin = -70; // player looks down - minimum
    private float yMax = 70; // player looks up - maximum
    public float InputVertical { get { return Mathf.Clamp(Input.GetAxisRaw("Mouse Y"), yMin, yMax); } } // vertical clamped mouse Input

    public float Sensitivity { get { return 30; } } // mouse sensitivity

    public Vector2 Movement { get { return new Vector3(InputHorizontal * Sensitivity * Time.deltaTime, -InputVertical * Sensitivity * Time.deltaTime); } } // the movement direction of the camera
}

In my controller I have this:

public class CameraMovementController : CameraCommonController // use the values from the datastore
{
    private CameraMovementData data; // instance to the datastore

    private void Start()
    {
        data = new CameraMovementData();
    }

    private void Update()
    {
        data.PlayerTransform.localRotation = data.Movement.x; // Rotate the player on X
        data.CameraTransform.localRotation = data.Movement.y; // Rotate the camera on Y
    }
}

So as you can see, I don't know, how to write my rotation in the Update method.

I have to use the localRotation, right?

And what do I have to assign to it, to make it work?

It seems I have to use

Quaternion.AngleAxis();

but I don't know, what to pass in as a second parameter