He also appreciated that Green Mountain really collaborated on getting the finished product just right for his namesake dark roast blend. But, he quipped, "I'm also the kind of guy who throws junk in it, too, chocolate and things like that," hence his Mountainside Mocha Latte also being a favorite.

Meanwhile, if his schedule leading up to the premiere of Chapter 1 was any indication, Costner's going to be needing some caffeine for the build-up to Chapter 2.

He wasn't sure yet if Venice would end up being a big family affair like Cannes, where his daughters Annie, 40, Lily, 38, Grace, 14, and sons Cayden, 17, and Hayes joined him for the premiere of Chapter 1 (and its seven-minute standing ovation).

Cayden's "been making noises about coming," Costner shared, but the teen will have to make "a convincing case" if he wants to miss four days of school.