Best way to transfer files from suse linux to Windows 2012 r2 shares

I have new Widnows 2012R2 Server and would like to transfer 7Tb of data to a new server. I have used Robocopy in the past on Windows and have had good luck. The linux box has Samab on it . So, I could run robo copy from the linux box to it . Alternatively , I could do have the linux guy run a Rsync to copy from the linux machine to my Windows shares.  Not sure which is best. We have copied some files from the shares , but was not able to the hole thing and I was thinking of just wiping the partial copy and starting from scratch to be sure, but others tell me that Rsync or Robocopy does a great job of looking at file sand seeing if its older and deciding to overwrite o not. Your opinion is appreciated.