From your description, it sounds like you’d do best with creating a new workspace: Avatar menu > My Profile Settings > Account > Create new workspace. You could call it Personal and then create personal projects there. In My Profile Settings > Email notifications you attach your personal email. You’ll have two Inboxes, two My Tasks, which is what you are asking for. Because Personal is a workspace not an organization, you can’t use teams with it.
Some of us prefer to make one or more personal teams (hidden to others) within our existing organization, which allows management of our day with a single Inbox and My Tasks, and the ability to create multiple personal teams.
Hope that helps,
Larry