I had the same setup until recently. I always had troubles with Kodi not indecing very well my movies; and also when wartching my moview far from home I had to copy them first, than think about marking them as "watched" in my library - and if I stopped watching mi-movie that was even more complicated.

Really, Jellyfin has been quite the upgrade. The indexing is better, I can watch things far from home, everything is there. As a bonus, I can create accounts for close friends/family so they can watch what I download without hassle.

Just try it.