Don't fancy much about storing in the cloud. I will build a lightweight service that any person can leave it running in their home pc that will act as an nsec bunker, and you will auto login in nostr apps.
Discussion
How the autologin part works?
Im thinking in the scenario of my existing browser extension, it works as nostr signer (nip07) currently it keeps you nsec, just like alby for eg. But with this nsec bunker, you would still sign in with the extension (nip07) but your keys would be in the bunker, not in the extension. If you don't want to use the extension, you can just get the nsec bunker string/npub and paste it the client. Coracle supports all of this is a good example. Ofc pasting your nsec bunker npub is not auto-login, it sucks, I think we could come up with a simple standard to make this auto fill automatic a bit like nip07.