Sync your local files against a remote

$ rsync --partial --progress --rsh=ssh SOURCES DEST_HOST:DEST_PATH

Example

$ rsync --partial --progress --rsh=ssh *.zip user@remote:/home/user/backup

Sync local source to local destination directories

$ rsync -av /source/ /destination/
# (after checking)
$ rm -rf /source/

Sync remote calibre library to local

rsync -av --partial --progress remote_host:/home/user/calibre_backup ./