I keep hearing about people with cheap and flimsy PS4 controllers, but I honestly find them very sturdy, and the X1 controller too light, creaky, and flimsy. Both of my launch DS4's and a white one I bought around the time Destiny dropped are all still brand new looking and in excellent condition. And one of my launch controllers has taken a ton of heavy wear.
I also think the DS4 has a superior ergonomic design allowing easier access to the bumpers, not to mention it has the mic port, trackpad that serves as another button, the light that can be utilized, a recharbale battery, etc. The X1 controller is just another controller with slightly harder to reach bumpers.
There is the Elite controller, which is really nice, but let's be honest it's a $150 boutique item.