You can't directly alter what's in the search engines - the best you can do is to redirect your Voice site to your new site. This means that any visitors to the old URL will be sent to the new site - including the search engines themselves.

After a week or so they will update their indexes, so that searches for your site only return the new one, not the Voice site.

To set up the redirection go to Website Settings tab and Enable/Disable/Redirect Website subtab in the admin pages of your Voice site.

Though, in fact, I notice you're using a custom domain with your site - which means the search engines don't really know that your current site is on Voice, and if you just configure your domain to your new provider then you should be fine without doing anything on the Voice side. You should then disable the Voice site from the above admin page so that only the new site exists.

Good luck with the new site!

Thanks

Joe