Is it custom build NAS or something like Synology?
As already mentioned for proper backups you should locate the NAS somewhere else.
I’m not an expert by any means so don’t take my word for it. I’ve tinkerd with some pies befor but this was my proper first project: a NAS for my family (multiple households).
If it’s for personal use, you can use a VPN to your local network. It’s by far the safest option and easier to setup.
I went with OMV (openmediavault) for local sharing as OS + Docker + portainer. For the backups and access I went with Docker Nextcloud and Docker Swag (letsencrypt) and a reserve proxy with duckdns since I don’t have a fixed IP. Nextcloud setup was the easiest part and not really a hassle. With a VPN you won’t need to tinker with the “access from net” stuff.
For syncing files on Android I would recommend Autosync since it’s the most reliable one IMO. No other OS tested so far.
Nextcloud can handle a lot on its own and for something special you will find a proper plugin. For the download needs you may find some docker containers.
AFAIK the FritzBox switchs mainly to the faster DNS Server. I tried to use Quad9 with cloudfare as the second DNS server, most of the time cloudfare was the used since it was a bit faster.