(I don't even want to think about how to tell Mobile Safari on my iPhone how to find my key)
EDIT: My ideal setup, I think, is an app on my phone that I can use as my token - somehow signaling to my desktop/laptop that it's nearby and can be used as a token and ideally popping up a notice on the phone lock screen when there's an authentication request so I can quickly get to it. Then in my app, I'm free to export and backup my keys for all of the sites I'm enrolled with as I see fit. I know, I know, maybe being able to export the keys makes the setup less secure, but I will trust myself not to accidentally give the backup to a phishing site. (And I do worry that I'll accidentally get phished using a TOTP app, so I'd like to switch to FIDO, but I don't want the pain of multiple keys)