You could simply create a copy of that module view into an extension, custom the module view to meet your custom redirection needs and use the custom module view in place of the default.
Though it didn't help much, it did got me to look into the kernel. (kernel/user/password.php)
To set a "redirect on cancel" for the user password update page, use hidden value "RedirectOnCancel".
As for a redirect on successful update...that's just a crazy client request, it makes more sense to stay on the same page so the user see the confirmation message for their submission.
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