One thing about the new approach to skills is that it might require more forethought and planning, or at least better improvisational skills within the context of the storyline, to DM.
Under the "task resolution" setup, you can pretty much handle events as they crop up. The PCs talk to the guards, fine, make a Diplomacy check (or run it freeform). They botch it, make a Str check to run away. Make a Hide check to hide. Make a Climb check to climb over the wall. And so on, until you eventually get tired, or the guards catch them, or whatever.
Under the "conflict resolution" setup, you have to consider possible events as part of an overarching conflict. Say they botch their conversation with the guards. What is the conflict now? Maybe it's to get away (the immediate conflict). Or maybe it's to get back on track with whatever they wanted to do in the first place (longer-term conflict). Deciding which is more appropriate may not be something that D&D DMs are familiar with.