Moving instances of wordpress & joomla (just the files / not the MySQL) can be time intensive with all of the tiny file.
One method I use constantly to speed this process up is SSH to zip/unzip directories then simply move the single large file.
Logging into SSH is quite simple if it's activated on your server.
Open Terminal on OSX
Command to zip a directory
zip -r filename.zip foldername/
Command to unzip