Double cuffs are standard, and the only correct option, with the sole exception of actually wearing a full dress (white tie) shirt, as @Marc Voorhees
does. My understanding is that white tie cuffs are stiffer, similar to the bib, and collar.
I don't find French cuffs bulky, but I have other jackets where they are bulky. A dinner jacket should be but to accommodate French cuffs, since they are the standard. soft single cuffs look awful with a dinner jacket. A friend if mine got his black tie rig at a liquidator, that mostly sells rentals that never made it to a rental company, and they look wimpy, and chintzy.
I would venture to guess that the advent of french cuffs with Tuxedos was with the switch to more comfortable, less formal, soft shirts, specifically because of what I've noticed on my friend's shirt.
And, here is the obligatory reference to black tie guide, where double cuffs are indicated, exclusively:http://www.blacktieguide.com/Etiquette/Etiquette_Defining_Black_Tie.htm