We are currently offering a WordPress migration service that will take care of you: for just $99 and in less than 48hrs, we’ll move your site without any downtime! Please note, your current site should be at least version 3.7 of WordPress or higher, must be error and hack free, and must remain live at your current host while we migrate it. This is so we can compare the live site to the migrated site to ensure the migration was successful.
While there is no downtime, we ask that you do not make any changes to your site once we start. This is to avoid leaving any of your changes behind. https://www.dreamhost.com/legal/wordpress-migration-terms/
There are also other free options for transferring your sites. For example you can use a WordPress plugin such as duplicator to transfer your content over. https://help.dreamhost.com/hc/en-us/articles/215412197 and we also offer a helpful guide here: https://help.dreamhost.com/hc/en-us/articles/215461357
You can also find all the hosting plans and pricing we offer here: https://www.dreamhost.com/hosting/
Let us know if you have any more questions,