Comment by JoshTriplett

That's useful but not quite sufficient for this use case, though. The different devices currently have no way to sync chat history, so you'd lose all your old chats.

What I'd love to have is the ability to connect my phone and my laptop to the same Signal account, have them automatically sync chat history between each other, and then in the future if I add a new phone (e.g. because I've upgraded) my phone can sync from my laptop and get all of my message history.