Do I use
rsync --appendfor all invocations?
Yes, you would use it each time (the first time there is nothing to append, so it's a no-op; the second and subsequent times it's actioned). But do not use --append at all unless you can guarantee that the source is unchanged from the previous run (if any), because it turns off the checking of what has previously been copied.
Does
rsync --appendresume for the subsequent invocations… without reading all the already copied data?
Yes, but without rsync --partial would probably have first deleted the target file.
The correct invocation would be something like this:
rsync -a -vi --append --inplace --partial --progress /path/to/source/ /path/to/target You could remove --progress if you didn't want to see a progress indicator, and -vi if you are less bothered about a more informational result (you'll still get told if it succeeds or fails). You may see -P used in other situations: this is the same as --partial --progress and can be used for that here too.
--appendto continue after a restart without checking previously transferred data--partialto keep partially transferred files--inplaceto force the update to be in-place
If you are in any doubt at all that the source might have changed since the first attempt at rsync, use the (much) slower --append-verify instead of --append. Or better still, remove the --append flag entirely and let rsync delete the target and start copying it again.