How to move relative to the orientation

Questions & Answers
1

I’m using a script that makes my character rotate in 8 directions using quaternions and a CameraOrbit camera script. After hours and hours of work, everything is finally working nicely, the character rotates just the way I want it to(and always keeping the Vector3 to wherever the camera is pointing) BUT
I can’t get a single, even the simplest movement script to work with it. Only forward works properly with most of them.
If someone is willing to tell me how I could implement movement as simple as they can, I’d be super grateful.

Here’s the 8-directional rotation script:

using UnityEngine;
using System.Collections;

public class AxisMovement : MonoBehaviour {

	// Use this for initialization

	private Vector3 inputDir = Vector3.zero;
	private float lockRotation = 0.0f;

    private CharacterController controller;
    public Transform target;
    public float speed = 1f;




	void Start()
	{

		controller = GetComponent<CharacterController>();
	}

	void Update()
	{

		Vector3 inputDir = new Vector3(Input.GetAxis("Horizontal"), 0, Input.GetAxis("Vertical"));
		Vector3 v = inputDir.normalized;
		v.x = Mathf.Round(v.x);
		v.z = Mathf.Round(v.z);
		if (v.sqrMagnitude > 0.1f)
			inputDir = v.normalized;


		inputDir = Camera.main.transform.rotation * inputDir;

		if ( inputDir != Vector3.zero ) 
		transform.rotation = Quaternion.Slerp(transform.rotation, Quaternion.LookRotation(inputDir), 0.5f);

		}



	void LateUpdate()

	{

		controller.transform.rotation = Quaternion.Euler(lockRotation, transform.rotation.eulerAngles.y, lockRotation);

	}

}
2

Simple movement:

public class AxisMovement : MonoBehaviour {

    public Transform target;
    public float walkSpeed = 5f;
    public float gravity = -10f;
    public float turnSpeed = 10f;

    private CharacterController controller;

    // Use this for initialization
    void Start()
    {
        controller = GetComponent<CharacterController>();
    }

    void Update()
    {
        Vector3 inputDir = new Vector3(Input.GetAxis("Horizontal"), 0, Input.GetAxis("Vertical"));
        Vector3 v = inputDir.normalized;
        v.x = Mathf.Round(v.x);
        v.z = Mathf.Round(v.z);
        if (v.sqrMagnitude > 0.1f)
            inputDir = v.normalized;

        inputDir = Camera.main.transform.rotation * inputDir;
        inputDir.y = 0;

        if (inputDir != Vector3.zero)
            transform.rotation = Quaternion.Slerp(transform.rotation, Quaternion.LookRotation(inputDir), turnSpeed * Time.deltaTime);

        // Movement
        inputDir *= walkSpeed;
        inputDir.y += gravity * 50 * Time.deltaTime;
        controller.Move(inputDir * Time.deltaTime);
    }

}