A new PC is technically better. But Consoles will always have its exclusives. Personally, 90% of the games that come to consoles in a given year are 3rd party. And thus will be on PC, and at much higher quality. When people compare the cost of a PC to Console, I think it's kind of silly. First off, while a gaming PC will be twice as expensive as a console, it's still a PC. Almost every gamer has a stand alone PC in their room (or one that there family uses. Although more so than any other time, more individuals have their own PC or laptop). And when you figure that cost in, most people will pay $400-500 for a pre-made PC/laptop (some college students will go $1000 for apple products).
And this PC/laptop is used daily for pretty much everything. You depend on it. Then you consider these same people that own a PC/Laptop will turn around and pay $400-500 for a console. So really, building your own PC is just about consolidating your gaming hobby into a tool you already would need. Ironically, it becomes more of the "one box, for all entertainment" that the Xbox One is trying to be.
So price wise, and quality wise, I would even argue PC has consoles beat. But it all comes back to exclusives. You just have to look at what both systems are offering, and see if it's worth missing out on. Honestly, if you aren't that excited about the games being offered on both consoles initially, I would say build a PC, then get a PS4 of Xbox One in a year or two when more exclusives are out that interest you. There is no rush at all to go out and buy one.