Ahhh, Bluetooth share ... I remember messing around with it in 2017 on some old Nokias and an Android phone. That was the last time it ever worked for me. It's been quietly supplanted or removed from my newer devices, and the pairing is quite finicky. Also, the transfer speeds (back then) were awful - Kb/s.
Now my go-to is Dropbox/cloud/Sharik for small files and rsync for bulk backups.
Sharik looks great! They need a canonical domain receivers can visit without entering IPs like https://pairdrop.net/ It even has a shortcut for the share menu!
https://github.com/schlagmichdoch/PairDrop/blob/master/docs/...
I was getting megabit speeds 20 years ago.