If you have Google Webmaster Tools installed on you old domain then you can inform Google that you're moving domains, and then you can do a 301 redirect.
If you're doing a 301 redirect with no preservation of the entire site, this means that every page on the site will redirect to your 4th site, then it won't matter if you delete the links in the images as the pages those links will now forward to your 4th site.
Or you can have the 301 redirect preserve you requests, this means that a user asking for /best-shoes.html on your old site will still see best-shoes on your new site.