We do something similar with a server that stores all the server images.
We have 5 external hardisks Monday - Friday.
We use robocopy to do the syncing.
if you use the /MIR switch it creates an exact mirror of your source on your target.
Only copies what has changed.
Deletes files on the target that are no longer on the source.
Many other options within Robocopy for syncing if you want something different.
and it's free