If you want to play cutting edge games with cutting edge hardware and software you buy a PC. There's really no debate.
With the PC you get the added bonus of all the other features (for instance I use the Adobe Creative Suite extensively - including Photoshop, Lightroom, Illustrator etc. - all of which are truly remarkable pieces of software).
Best of all the games come cheaper through the various sales held on Steam, Origin etc.
If you aren't particularly bothered about performance and don't mind being bombarded with endless offers to sell you "content" - go with either of the consoles. They're basically PCs anyhow in architecture. If albeit modestly powerful next to the figures you can juice a PC up to.
Unfortunately you are entering into a real lull in the games market. A succession of mergers, criminally high production costs and a general lack of imagination have crippled the gaming industry over the last few years. More software houses have gone out of business recently than at any time in gaming history.
However, the impending arrival of VR technologies such as Oculus Rift will likely light the turbochargers on the industry. We really are at a nexus in the evolution of not just gaming - but the entire media community. The possibilities offered by devices such as Oculus Rift really are limitless. I fully expect there will be a concerted effort to somehow unify the games industry with the elements of the movie business over the next 10-20 years. It's been coming for a while now with TV making tentative steps to align some of its content with "same universe" game platforms. Once OR explodes onto the market I don't think it'll be long before movies themselves are piped directly into VR format.
A prime example for such a venture is the Star Wars universe. Given the petabytes of digital content formerly under the control of Lucasfilm and now Disney it should be simplicity itself to recreate some kind of facsimile of that universe within a VR game engine. Once that link is made it won't be long before "watching a Star Wars film" takes on an entirely new meaning.
If you want to be at the bleeding edge of this coming revolution my guess would be to stick with the PC for the time being. That is until greater "thickness" is hardwired into telecomms and they can be replaced by semi-"dumb" terminals.