Get your server admin to login to your folder where the Members directory is and type
tar -cvzf Members.tar.gz Members
then into the folder where the UBB cgi files are
tar -cvzf Cgi.tar.gz *
then into the non cgi folder and type
tar -cvzf UBB.tar.gz *
this is presuming you have telnet access or they do.
then download the .tar.gz files and re-upload them to new host then ask the new server admins to type
tar -xvzf Members.tar Members
etc etc with all folders
then its a case of CHMOD all of them
u might have some problems with owners and
CHOWN Username *
might have to be used.
Hope this helps.