I would tar the directory to somewhere with enouth space and the scp to my home server/disk and untar.
This way you would not loose the permissions/ownerships of the files/directories.
Assuming free space at ~root
tar pzcf ~root/www.tgz /var/www
scp ~root/www.tgz <myhomeuser>@<myhomeip>:
tar zxf ~<myhomeuser>/www.tgz
This way you'll only need, after, to unmount the disk and take it to the data centre.