He seems visibly overwhelmed by the awesome responsibility he's inherited and saying exactly the right things to signal to the world that he's not going to be making a hard break.
For example, he did not have to say, multiple times, that he would take advantage of Obama's counsel and meet with him many more times.
Edit: I updated the link. This one shows the very end where Trump calls Obama a 'Very good man" - almost under his breath. It's almost like you see him learning something about being a statesman.
I'm trying to be as optimistic as possible here.