What email service do you use for a unified inbox? - eviltoast

I am researching options to move to a better email client with some of my existing email addresses (namely gmail and outlook), but I am having trouble finding one that you can view both in a browser and in an app. Ideally it would be pretty low cost (free) but I am willing to pay for an exceptional one. Unfortunately at this time I can’t change my email addresses.

Any ideas?