Microsoft will require MFA for all Azure users

This article is extremely vague as many has already described. My first thought was wait a second, we are unable to use Microsoft Entra's MFA solution because the Conditional Access is locked behind the Entra ID Premium license. There for, I cannot enable and target a hardware token for registration in Entra for all users or a specific group of users as a requirement. It's only optional. 

Service accounts are another huge concern for me. How many tokens am I going to need from Microsoft just to run my every day? Or better yet, am I going to be spending all day pressing the token button just to complete my daily task?

I'm a little picky here, however, Microsoft recently rebranded Azure to Entra. So, are we talking Entra or Azure? Are they the same or is there a new product in the market that I was not aware of.

Don't get me wrong, as a security person, I am all for MFA. However, it should be done right, with proper documentation. We use an on-prem hardware token for MFA. No BYOD is allowed. Our employees cannot download the Microsoft Authenticator app onto their personal phones, as that is a violation. Plus, that app would only work for one thing, Entra.