I am writing to provide another method for this move:
http://www.websitebaker2.org/topics/moving-from-server-a-to-b.phpIt is easier, in that you don't have to install WB on your new server.
It requires that you know enough to change things in config.php (or in my case, know that no changes were necessary).
A) Overall, follow the instructions in the link above, but don't do steps 1, 2, and 4 (e.g. installing WB on the new server).
B) After step 3, you need to change the permissions on your directories (probably just like you did when you first installed WB on server A). I cannot find a specific list of all the directories, but the image in Step 2 on this page shows a picture of the install screen, and the directories/files that need to be writable. That is what I used.
http://www.websitebaker2.org/en/help/user-guide/installation/the-installer.phphttp://www.websitebaker2.org/media/de/Help/install/install-2.1-schritt-wt.jpgC) Review your config.php file (mentioned in the instructions), and make changes as necessary to match the settings on your new server. In my case, I set up everything -exactly- the same on the new server, so I didn't have to change config.php. It is probably a good idea to review this file prior to this whole process to make sure you know what you need to change (if anything).
Boom, it should work. It worked fine for me.