IMHO there is no "right way". Frankly I was thinking of all three of them when I read the subject line only.
As you are asing for opinions... I would not recommend the singleton pattern here. This is just because view controllers could stack and by their nature be instanciated multiple times. In terms of maintainable code (readability by others) I'd say no to that approach.
The delegate pattern is fine. But as you say you would have to pass a reference to this view controller from one view controller to the next. Yes, a bit messy. Well, you could store a reference to the delegate in some singleton. That is not the same as designing a view controller as singleton.
I'd say that the notification center is most appropriate for this type of data flow. Sender and receiver of the message are totally detatched and don't need to 'know each other'. It is a perfect pattern for all kinds of multiple senders and/or mulitple receipient type of messages.
Well, as I said, this is just an opinion.