For web apps/services, the browser needs to be involved here too, right? (And maybe the OS?) How can I tell Chrome on my desktop to use my "software token" instead of Chrome looking for a hardware token over USB or finding it via NFC, so the remote service can ultimately interact with my (virtual) token?
(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)
(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)