Those are all personal, although your last one includes work information. My work has a separate identity from me, has a separate email address, and has confidential information that needs to be bounded by that work. Intermingling it with boards associated with my personal identity is wrong, and in violation of several work NDAs with partners.
It should also be the case that my work can disable/cancel my work account and be confident of no further work related access by me.
You'll just see our public boards, but we also have boards that are visible only to org members. Granting or restricting access to all of them is as simple as adding or removing a user. You can create and be a member of as many orgs as you want.
But that's not the issue. The problem is the inability to switch between identities without logging out and back in. Which is significantly harder on iOS than the desktop.
Not really a surprise. I'm having the same problem with a pile of services. The only thing I'm using that lets me switch easily is Gmail.
There was a post on here a month or so ago about a guy who lost his personal drop box because they do a bad job of understanding people have multiple personas.
Huh? That still means giving a personal account access to the org. (We use an org.) And also means that notifications etc would go to a personal email account, not a work one.
We use Google accounts for work and Trello. That means that disabling the Google account is sufficient to prevent logging in to Trello, which is a good thing.
It also means that none of us can practically use Trello for personal stuff.
If you're running a modern OS you can use multiple desktops. why not use a desktop switch - with another browser running your personal account. you could switch back and forth with a key command and maintain the separation. Or if you have the power, run a VM and do it in that.
It should also be the case that my work can disable/cancel my work account and be confident of no further work related access by me.