It's funny that Sunrise and Sunset Point are very close to one another, but it's true that one is actually better for sunrise, and one for sunset. We watched the sunrise and sunset from both spots, and the namesakes of each viewpoint are true. The whole paved path between the two points offers great views, so if you don't want to crowd onto the small viewing platform, you can spread out at any spot along the rim between these points.
Also from here, the Queens Garden trail goes down to the canyon floor, which can be linked together with any number of trails. In fact, we went down Wall Street (from Sunset Point), around the Peekaboo Loop trail, and then back up Queens Garden to Sunrise Point. A bigger loop, but an amazing tour of the entire area. But if you're only here for view at dawn/dusk, this is the better spot for sunrises.