Under Manage channels you'll find where to administer your search profiles and social accounts. You're presented with an overview of your channels.
NOTE! These settings affect your entire account, not just your user.
If you want to edit the Search profile, click on this pen. See guide how to edit here.
To delete a Search profile from your account, click the trash can.
You can also change the order of the channels by dragging the icon shown, and drop it where you want it.