Hello,
Instead of ftp use scp (secure copy) or rcp(remoter copy). To copy file1 from myserver in /home/me to newserver1 in /tmp you would enter:
scp /home/me/file1 newserver1:/tmp
System would prompt for your password in scp if you have not configured ssh keys.
If the servers are close together you could mount a directory from one server on the other server and use reqular commands to move files around. You have to configure newserver to allow the directory to be exported (mounted) by the IP of the system that is going to access it and start nfs.
mount newserver1:/tmp /mnt
cp /home/rod/file1 /mnt
This is a copy of an /etc/exports entry to allow another system to mount the /var/extnfs directory on this one:
/var/extnfs 192.168.0.2(ro,sync,no_root_squash)