In my feature proposal here I suggested the ability to label your accounts to make using them in this way easier. For example, you could label one acocunt “work”, another account “family” and so on.
Currently you can only edit the profile name for each account, which is also sent to your contacts. This is not very helpful as a private account label.
For example Alice might understandably want to set the profile name of all her accounts to “Alice”, so the profile name won’t help her to distinguish between her own accounts in this case.
On the other hand, if (using the current system) Alice sets the profile names of her accounts to things like “work” or “family” so that she can identify them more easily, it will be confusing to her contacts who receive an email from someone with a profile name like “work”. It doesn’t make sense to use profile names as account labels and they’re not designed to be used this way.
Therefore there should be the option to set both a profile name for an account (which is sent to contacts) as well as a private account label (which stays on the device and is never sent to contacts).
(By the way, the other ideas discussed in the thread above such as tags, color coding, grouping etc. are also worth considering, but in my opinion I think that private account labels would be the logical place to start for organizing your accounts/chats in an efficient manner.)