If you're going the APU route, you may as well get a PS4.
Also, I made a mental mistake Broadwell is the upcoming chipset, and current gen is Haswell.
You can build a system for $1000 that will run 1080p well. You don't need to go crazy until you start pushing higher resolutions. I always try to hit a price performance balance.
I just spent a little time throwing together a system.
http://secure.newegg.com/WishList/Publi ... r=31368087
One, I assume you have keyboard, mouse, and monitor. Two, I assume you either don't want a dvd etc drive, or already have one. Ive gotten to the point I just either use USB to install windows or just temporarily install one from another box. I went H87 chipset for the two banks of memory, you can fill it 2x4 now, and if need be add another 2x4 down the road. You probably wont need to. If you really need to you can go 4x8.
I went with a a gtx 770 which should power games really prettily through 1080p. This one has 4gb a ram, which I think will be useful. It's $280, and I do have some trepidation, because another $50 will get to a 970 with 2gb (and again, I think 2gb is not good enough anymore.)
I didnt research anything heavily. Prices are always in flux, there's a bunch of rebates, and 2 game combos that dont show with the public list. (Presequel and World of Tanks).
Also newegg will start having black friday sales probably as soon as November. That could be a hit or miss, it was a lot more fun when they had actual black friday with real deals. Still, if you are patient with a plan you could probably shave 10 or 20% or more on components. Although often its the stuff that isnt selling and has poor reviews (or good stuff priced over market).