People calling Samsung phones frigid toys which snap in half with a sneeze is laughable. Currently have the Samsung Galaxy S4 and I think it looks pretty sleek, isn't too heavy or too light (good balance) and it's rigid as fuck. Dropped it at work (tumbled 7 meters) and it survived and still looks brand new lol.
Sure you may argue that plastic isn't a premium material unlike aluminium or whatever, but it sure knows how to take a hit or two. Besides that, the screen looks gorgeous! I've been watching films on it while on the road and having a big screen like that is definitely a big plus. I feel that if you end up with an iPhone you'll be cheated out of the screen estate that makes phones so beautiful atm. It also sports the best camera currently available to smartphones if you're into that.
Besides having many top notch features and components, it also has the ability to swap battery and stick an SD card in there. I currently have 64GB card in there for all my film/music needs which is just awesome.
All in all, I believe that the Galaxy S4 will bring you the most value for your money. I'm not sure about the HTC One though. The lack of an SD card slot and the inability to switch battery are turn offs for me. I've also heard bad things about HTC being slow with updates as well as just dropping phones from updates. Samsung on the other hand (while still not overly speedy) still provides updates for old phones (galaxy s2) in a timely way.
Just my two cents.