My development computer recently had to be rebuilt so I am now trying to migrate a Wordpress site from the hosting company to my development PC.  So far I have done this:

1) Installed XAMPP.
2) Download the php files using FTP and put them in htdocs\mysite
3) Create a virtual host called: localhost.MySite.
4) Export the .sql from the host using PHPMyAdmin
5) Open the .sql and to a find and replace replacing: www.mysite.co.uk with: localhost.MySite
6) Use PHPMyAdmin on my local PC to load the .sql
7) Make changes to wp_config.php:

    define('WP_HOME', 'http://localhost/mysite');
    define('WP_SITEURL', 'http://localhost/mysite');

Everything appeared to work e.g. the multi sites; the admin panel etc.  The only issue I have is when I logout of the admin panel; I am redirected to: http://wp-login.php/?loggedout=true instead of:  http://localhost.MySite/wp-login.php/?loggedout=true.  What can I do.

I have spent a while Googling this e.g. I have looked here: https://wordpress.org/support/topic/logout-redirect-not-working-3/page/2/

This issue does not happen on the live website.