I have never used outlook. so can't help you much there.
The main reason i don't use it is because that the few moments i have spend with it had lead me to the conclusion that i don't like it.
Have you considered Gmail instead? It's properly the best Email service available today.
You are not gonna have that problem with Gmail.
You don't have to backup any email on a physical harddrive.
It's easy to manage mails.
It has taps to sort what kind of mail you have gotten. Like this:
In this case he have chosen the default, Primary, social and promotions. You can add more if you like
It has a wide variety of themes.
It has a clean and easy to use mobile version
With Gmail, you also get other google features like Google Drive. An online backup service with an inbuilt office suite.