[cd34]

if your provider's support FXP, you can do a server to server move which is much faster.

if you have ssh, you could use scp.
scp -rp directory user@1.2.3.4:newdirectory

if you have ssh, and rsync, you could use rsync.
rsync -ap --delete directory/ user@1.2.3.4:newdirectory/