The WordPress plugin duplicator is a bit complicated. It would be best / simplest to have a one-click Duplicator.
The one-click Duplicator would require a DreamHost source name and DreamHost destination name.
Click the Duplicator button, and it would 1) transfer all files, 2) copy the MySql file to a new MySql file, 3) rename the new MySql file with the appropriate name, and 4) make the necessary modifications so that WordPress will use the new database name.
There is zero chance for error.
A one-click DreamHost Duplicator plugin might be the simplest ... and would provide PR for DreamHost.
Some folks might consider switching to DreamHost for this one reason.