How to move selected rows of one datagrid into another one

using System;
using System.Collections.Generic;
using System.IO;
using System.Linq;
using System.Text;
using System.Windows;
using System.Windows.Controls;
using System.Windows.Data;
using System.Windows.Documents;
using System.Windows.Input;
using System.Windows.Media;
using System.Windows.Media.Imaging;
using System.Windows.Navigation;


namespace FileListGrabber
{
    /// <summary>
    /// Interaction logic for Window1.xaml
    /// </summary>
    public partial class Window1 : Window
    {
        public Window1()
        {
            InitializeComponent();
            MyWindow_Loaded();
        }

        private void MyWindow_Loaded()
        {
            // Here I am fetching data from a CSV file
            var reader = new StreamReader(File.OpenRead(@"C:\BigB.csv"));

            // List to store data fetched from CSV file
            List<GetFile> Fetcher = new List<GetFile>();


            while (!reader.EndOfStream)
            {
                var line = reader.ReadLine();
                string[] values = line.Split(',');

                Fetcher.Add(new GetFile
                {
                    FileName = values[0],
                    FileExtension = values[1],
                    FilePath = values[2]
                }
                );
            }
            myGridView1.ItemsSource = Fetcher;
        }
        
        public class GetFile
        {
            public string FileName
            {
                get;
                set;
            }

            public string FileExtension
            {
                get;
                set;
            }

            public string FilePath
            {
                get;
                set;
            }
        }

        private void buttonRight_Click(object sender, RoutedEventArgs e)
        {
            // Code to move row in myGridView2
        }
        private void buttonLeft_Click(object sender, RoutedEventArgs e)
        {
            // Code to move row in myGridView1
        }
    }
}