To update your Moodle notification options, 

  1. go to your profile (eg by clicking on your name in the top right corner of the Moodle home page)
  2. in the Administration block click on Messaging and then adjust the available options for Pop-Ups and/or Emails.



Note 1: If you want to change the email address for all your Moodle correspondence, you can do that by editing your profile. If you want to change the email address for your Moodle notifications only, do this via the Notifications options page mentioned above.
Note 2: Please do not turn off Assignment or Forum notifications as these are vital to keeping on top of your student's assignment submissions and forum posts.