GoPlaces.cs

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

public class Movement : MonoBehaviour
{
    private float _speed;
    private int _index;
    private Transform _allPlacesPoint;
    private Transform[] _arrayPlaces;

    private void Start()
    {
        _arrayPlaces = new Transform[_allPlacesPoint.childCount];

        for (int i = 0; i < _allPlacesPoint.childCount; i++)
            _arrayPlaces[i] = _allPlacesPoint.GetChild(i);
    }

    private void Update()
    {
        var pointInArray = _arrayPlaces[_index];
        transform.position = Vector3.MoveTowards(transform.position, pointInArray.position, _speed * Time.deltaTime);

        if (transform.position == pointInArray.position)
        {
            GetNextIndex();
            GetNextPlace();
        }
    }

    private void GetNextIndex()
    {
        _index++;

        if (_index == _arrayPlaces.Length)
            _index = 0;
    }

    private void GetNextPlace()
    {
        var pointVector = _arrayPlaces[_index].transform.position;
        transform.forward = pointVector - transform.position;
    }
}