Disable Diagonal Movement

So I am having a few problems trying to disable diagonal movement of the player in my 2d rpg style game. I have tried including "return" and "else" commands to the if statements, however it has caused some problems with the animations of the player. I have looked at other tutorials also but that hasn't helped either. I would also like the player to be able to change direction on the spot without moving (pretty much the movement style of the original pokemon games). Here is my script

 using System.Collections;
 using System.Collections.Generic;
 using UnityEngine;

 public class PlayerMovement : MonoBehaviour {

 public float moveSpeed;

 private Animator anim;

 private bool playerMoving;
 private Vector2 lastMove;

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

 // Update is called once per frame
 void Update()  {

     playerMoving = false;

     if (Input.GetAxisRaw("Horizontal") > 0.5f || Input.GetAxisRaw("Horizontal") < -0.5f)
     {
         transform.Translate(new Vector3(Input.GetAxisRaw("Horizontal") * moveSpeed * Time.deltaTime, 0f, 0f));
         playerMoving = true;
         lastMove = new Vector2(Input.GetAxisRaw("Horizontal"), 0f);
     }
 
     if (Input.GetAxisRaw("Vertical") > 0.5f || Input.GetAxisRaw("Vertical") < -0.5f)
     {
         transform.Translate(new Vector3(0f, Input.GetAxisRaw("Vertical") * moveSpeed * Time.deltaTime, 0f));
         playerMoving = true;
         lastMove = new Vector2(0f, Input.GetAxisRaw("Vertical"));
     }

     anim.SetFloat("MoveX", Input.GetAxisRaw("Horizontal"));
     anim.SetFloat("MoveY", Input.GetAxisRaw("Vertical"));
     anim.SetBool("PlayerMoving", playerMoving);
     anim.SetFloat("LastMoveX", lastMove.x);
     anim.SetFloat("LastMoveY", lastMove.y);
 }

Thanks in advance.