1Password is the premier password management app - period. With the introduction of app extensions using the Share Sheet button in iOS 8, 1Password also became an iOS automation app for entering and creating passwords. Now with Touch ID, entering website and app passwords is faster on iOS than it is on OS X or any other platform.
The 1Password app extension (which first must be turned on) enables me to log into any website in 3 taps and a fingerprint scan which takes about 10 seconds total. The problem of remembering and entering your passwords has been solved by the team at AgileBits. Here is a 1Password video tutorial that covers how to set up your 1Password.