Best way to name images before migrating a site

Hi,
i want to build a WordPress site for someone on my domain and then migrate the complete site to their domain. W

hat’s the best way to link to images so that all my internal links will work when I migrate the site?

For example my logo link is “https://mysite.ie/wp/wp-content/uploads/Logo.jpg”

And I want to avoid having to change this to:

“https://theirsite.ie/wp/wp-content/uploads/Logo.jpg”