Changing the direction of what is considered "forward"

I am making a first person shooter similar to the original doom games and I have it set it so that I can move forward, backward, strafe, and rotate my view on the y axis only. However, when I start the scene, the character only moves forward in the initial direction it's facing. Is there is a way I can go about changing the code on my player so that it moves in the direction it rotates? My main camera is a child of the player if that makes a difference.

 using UnityEngine;
 using System.Collections;
 
 public class PlayerMovement : MonoBehaviour
 {
 
     public float runSpeed = 240f;
     public float walkSpeed = 120f;
     public float turnSpeed = 60f;
 
     Vector3 movement;
     //bool isRunning;
     Rigidbody playerRigidbody;
     
 
     void Awake()
     {
         playerRigidbody = GetComponent<Rigidbody>();
     }
 
     void FixedUpdate()
     {
         float h = Input.GetAxisRaw("Horizontal");
         float v = Input.GetAxisRaw("Vertical");
         float t = Input.GetAxis("Turn");
 
         Turning(t);
 
         transform.Translate(transform.forward * Time.deltaTime);
 
         Move(h, v);
 
         
     }
 
     void Move(float h, float v)
     {
         movement.Set(h, 0f, v);
 
         //if(!isRunning)
             movement = movement.normalized * walkSpeed * Time.deltaTime;
        // else
             //movement = movement.normalized * runSpeed * Time.deltaTime;
 
         playerRigidbody.MovePosition(transform.position + movement);
     }
 
     void Turning(float t)
     {
         float newRotation = t * turnSpeed;
 
         newRotation *= Time.deltaTime;
 
         transform.Rotate(0, newRotation, 0);
 
         playerRigidbody.rotation = (transform.rotation);
     }
 }