We log in and out. But I typically only use Nostr Report on my laptop so I stay signed in (Damus) there. Right now I’m using Plebstr for Doc and Damus for Nostr Report on my phone because I’m testing out Plebstr, but usually I just log in and out of Damus. Its a pain, Im looking forward to when clients allow you to stay logged into multiple accounts, but thats probably not a common problem most people want solved.