I think both systems have positives and negatives. As far as what I like better about XB1/
As mentioned above, the controllers. Dualshocks are for smaller hands and feel flimsier...but that a;; fine. What I don't like (Though many see it as a positive) is that there are no batteries. I was charging my 1st dualshock and accidently walked through the wire, yanking it out of the controller. This damaged the port, making my controller not charge anymore. Now that it's charge is dead, I can't use it anymore. had it used batteries...I could still use it.
The biggies for me are storage.
1. PS4 only allows you one external device. period. In this day and age of large games, that sucks. To use a 2nd you have to reconnect your 1st and clear it, at least last time I tried. Xbox allows you as many externals as you want. You can only have 2 hooked up at a time, but you can use others freely by just disconnecting whatever you already have there. This allows you as much space as you could ever want. With PS4 I have a ton of games uninstalled because I can't use a 2nd HD. Due to storage limitations, I have quit buying PS4 games.
2. Stability. The stability of External seems better on the XB1....If my PS4 had an error and needs to shit down, or there is a power outage, the external needs to be "Fixed" I was downloading something with my PS4 in low power mode last summer while I ran errands. There was a power outage at my house, and my HD got corrupted.
That leads me to the last thing, that some of you will find weird. I like that the physical and digital files are the same on XB1 (Since they were originally going to just use the disc as an installer anyway) If I get a digital copy of a PS4 game, I have to uninstall the disc and the DLC to reinstall the digital copy. As a collector who likes the convenience of digital, that makes Xb1 stand out.
When my PS4 had it's corrupted external, I had to download the full games of anything I had digitally, since If I had the disc it's a different file. When I had to replace a HD for my XB1, I simply installed the games from the disc, and Dl the patches. A handful of games have patches the size of the game itself (Doom, PUBG, a few others) so it doesn't matter there...but If I need to reinstall say... Fifa 19... it's easier to Install 45GB from the disc and DL the 3BG patch instead of having to DL the 45-48GB game in it's entirety. Since I own the digital rights, Once this disc is installed I can put it away. For those of us with Data Caps....this is HUGE for me.
That made me think of one more... file management. With PS4 you have to uninstall everything or nothing. With XB1 you can choose exactly what you want to uninstall. PS4 does let you choose to install larger DLC when you install the game or not, which is OK, but that's all you get to choose.
Why is this important to me? Well I own a digital copy of the one of the battlefield games. If I want to uninstall my physical file I HAVE to uninstall all the DLC as well. The DLC is like 40GB- I want to uninstall the Game, so I can reinstall the digital copy...but not have to uninstall the DLC just to reinstall it. Xbox allows you to just uninstall the game, or specific DLC if you want...of course since it's all the same file it doesn't really matter as much there.