I want to manage two different email addresses through Gmail, and I have been experimenting with the Multiple Inboxes feature to accomplish this. The downside is that it appears that I have to choose between using the Multiple Inboxes feature or the Tab feature that sorts out my Promotions and Social email for me. I tried to skirt this limitation by simply setting up two new inboxes that would cover these emails. I added the search queries "is:social" and "is:promotions"--which does collect those emails into separate inboxes. However, doing this does not remove them from the primary inbox, which defeats the purpose (for me, at least).
So, my question is: is there a convenient way to use filters to remove those Social and Promotions emails from my main inbox, similar to how the Tabs feature does? I was thinking it would be relatively easy to archive them, but then they would also be marked as "read," which is not super useful. Is there something closer to having them sorted into their own tabs?
Also, before I apply whatever filters to my entire account, is there anything else I'm not considering?