networks are fast
Not on Amiga they're not, hehe

Envoy, Samba or similar infrastructures along with a "Cron"-service is one way of doing it on site.
I use rsync, as rsync will only copy over the changed chunks of files, and not the whole file, and thus save some bandwidth, especially with large files.And no hassle with network filesystem. I even use rsync to do nightly backups over serial PPP line (the MiST) to a git repo on the raspberry pi, where they are pushed to repos on my gitlab account.
list all files lformat "%d %t %a *"%p%n*" %c"
saves all meta info to a file to go along.
http://aminet.net/package/util/misc/rsync-2.5.5_bin (be aware - requires ixemul v48)