If you're migrating from iOS 7, you'll find that most of the same commands are here, but they're laid out slightly differently. Right away, you'll notice that the Today View section is gone, which indicated what you'd see in Notification Center's Today tab. Instead, you can find those controls directly within Notification Center — just tap the Edit button at the bottom of your Today tab.
Back to Notifications. You'll start by selecting how to sort your notifications, either manually or by time; tap your preferred view to select it.
You'll then see two lists of apps: Include, and Do Not Include. Include contains each app on your iPhone that has some kind of notification enabled; tap each app individually to control how that notification will be presented. And there is a lot you can control, starting with whether or not you even want to receive a push notification from this app — toggle it off if you don't. Next, pick how many recent items from this app you'd like to see in your Notification Center; tap the listing to pick between none, one, five, and ten. Select what sound you'd like, whether you want a badge with the app's icon to appear, and if you'd like notifications for this app to pop up on your lock screen. Finally, select an alert style: None, Banners (a bar across the top of your screen that pops down when you get an incoming notification), or Alerts (which pop up on the center of your screen).
Depending on the app, you might have a few more options. Calendar, for example, lets you set individual notification commands based on the incoming info — it's split by upcoming events, invitations, invitee responses, and shared calendar changes.
Yes, it's a bit annoying to have to change your Notification settings one app at a time, but the amount of control really lets you customize your app experience.
Depending on your carrier, you may have a section that allows you to enable and disable Amber and government emergency alerts.
For all you iOS veterans, all of that is old news — just laid out a bit differently. One new feature you'll find in Notifications is a control for Family Sharing. Family Sharing is a new iOS 8 feature, and it allows you to register up to six Apple IDs to one "family." Family members can then share app and media purchases across devices, have access to a shared family photo album and calendar, and much more. Here, you can set specific notification types for members within your Family Sharing account.
Apple introduced a brand new app for iOS 8 called Tips, which gives you a weekly tip to teach you more about your iPhone and iOS 8. You'll have the option to control Tips' notifications here, too.
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