iCloud Keychain will generate and store all your iOS 7 Safari-based passwords and autofill them for you where and as needed. However, there may be times when a website doesn't allow autofill (for example, at public terminal), or you want to use a password outside Safari (for example, in another app), and then you'll need to find it, copy it, and paste it in manually. Luckily, you can do just that via the Settings apps. Here's how!
That's all there is to it. Note that the list in Saved Passwords can become quite long if you save a lot of passwords. Hopefully Apple will add a search feature in a future version of iOS.
If you have specific questions about iOS 7 or OS X Mavericks in general, check out our iOS 7 help and discussion forum or OS X Mavericks help and discussion forum. For more on Safari in specific, check out our ultimate guide: