Write a script to copy logs

What Im trying to do is;

backup existing log files on local workstation, append timestamp to that file. Copy that file to a netshare if it doesn't exist already.

If my file looks like this testtext.txt2012-13-09-10:30, how can I write a script that will check if that file exist on the netshare already, and if not, copy that file from the local workstation to the net share.

Can someone help me with this,

Thanks,