Depends brother. I use my name on one, and don’t on another. As far as handles go, picking something with meaning to you takes time. “TheSameCat” has meaning to me and took months to think of.

Proton will allow you to have several addresses. Think they call them “aliases”

For business purposes, for bills, etc I just use my name. This also minimizes cross talk between my alias and my state name. Shoot, I use my gmail for all that. It’s not truly “private” info anyways since they all sell it to one another anyways.

I use my proton for things I don’t want tied to me, like social accounts, gaming accounts, etc. The encryption is just a bonus.

You can also use pgp with your gmail using FlowCrypt if you would like the content of certain messages to be protected from being read by Google, but are ok with the recipient knowing who are you, etc.

That way you can compartmentalize what any company or person knows about you. Gmail for “don’t care,” gmail+flowcrypt for “they know me but it’s private” and proton for “I want my identity to be private.”

I’m not being comprehensive here, but these are ideas to start.