I use Folder Sync Pro to sync files to a NAS. This app provides a lot of flexibility in terms of the kinds of destinations (NAS, various cloud service providers) and support for different protocols like FTP and SMB.
Author of the animation here - glad you liked the tool.
I use data published by JPL/NASA HORIZONS interface which provides orbit data for all natural bodies and spacecraft. The "glitch" is because of the data I fetched and used - it has nothing to do with the animation per se.
As of now, the JPL site provides data only until 20th August - the time when I fetched the data a few days back, the data was available until 16th September. This was a "merge" of 3 orbit segments - the Earth bound orbits, the transfer orbit and lunar bound orbits. The former two fit the observed data. The latter was entirely based on predictions. This merged orbit has a discontinuity where the predictions start and that's why there seems to be a glitch.
Once revised data is available from JPL/HORIZONS, I presume the glitch will go away.