Safari Passwords
I’d like to change my Apple password. Will Safari suggest a new password and store it in Keychain?
iPad, iOS 9
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Yes, if you're using Safari browser with Keychain turned on, it will auto suggest a strong unique password for your account. I would still recommend either writing it down or finding some way to store it, just in case you need to access it later.
You should also consider utilizing the two-factor authentication and recovery email functions, in case you every find yourself locked out for some reason.
Here are some support articles if you need help getting into your account:
If you forgot your Apple ID password - Apple Support
If you forgot the answers to your Apple ID security questions - Apple Support