Bsync is a bidirectional file synchronization tool, using rsync for transfers. Moved files are also synchronized in a smart way.
bsync is an alternative to Unison, written in Python 3. A big strength of bsync: it can detect and apply moved files from one side to the other (Unison uses some copy calls to handle moved files).
I developped it to be able to synchronize my music directory from my laptop to my Raspberry Pi in an efficient way, and to sync with my girlfriend laptop too.
Bsync is released under GPL. Feel free to report any bugs/wishes in GitHub issues.