Motherboard selection advice, help requested

[LumosX]

Greetings, experts! I've got a question that's bothering me, because I (unfortunately) know almost nothing about motherboards, and I'm requesting help.
I'm in the process of selecting parts for a new gaming rig, with the goal of running Battlefield 4 smoothly. I've decided to use the AMD HD 7870 XT GPU, as it seems to offer quite good performance for its price, and I'm wondering what motherboard I should choose, and what exactly CPU I should pick along with it. I'm thinking about the Intel Core i5-3570K, is it a good choice? And what motherboard would be the right decision if I seleted this processor?
My budget is around 700€, which equates to about $900 and £500. I can affort a bit more than that, but not too much. Maybe a hundred euro more at most.

Thanks in advance for reading this, I now leave myself to your wise counseling. Please help me.

 

[LumosX]

Thank you for replying. I think that I will be overcloking at least a bit, so I can buff up my rig when need be. I will also be shopping from the UK Amazon.

 

[LumosX]

Well, to be honest, I've got nothing right now, so I'll need the memory, the power supply, storage, all that stuff.
Thanks for the recommendations. I think I'll stop on the ASUS P8Z77 board. I also added the 2x4GB RAM Corsairs that you recommended, and a Corsair CX750 power supply that Amazon recommended me. Is 750 W good for future-proofing or is it a bit too much?
Currently, with the motherboard, CPU, GPU, RAM, and power, the price is 600 pounds, which is a bit overboard but affordable (I think). Now, what else should be considered? A hard drive? Possibly an SSD?

 

[LumosX]

Thank you! I actually did want to be able to overclock when it's necessary, not just yet if the CPU can handle it, besides, I don't really care for the graphics, and if need be, I would run Battlefield 4 on minimal settings. But seeing as the CX750 is only ten pounds more expensive than the CX650, I think that it would be better to get the 750 so I would (probably) never have to change it later on. Point on the SSD taken, and I think that the 1TB HDD will suit me just fine.
So, let's sum up: ASUS P8Z77 mobo, Intel Core i5-3750K CPU, AMD HD 7870 XT GPU, CX750 PSU, 2x4GB 1600 Mhz RAM, 1TB Seagate Barracuda HDD. All for 650 pounds, which is right about €750 euro. Great!
Now if you could recommend me a good, reliable case for all this, you'd be the most amazing person ever. 😛

 

[LumosX]

Right, thanks again! I'm really liking the Coolermaster Storm Enforcer out of these your suggested, so I might just go with it. In the end, everything totals to 720 pounds, which is about €830. Fortunately, I can manage this price.

Thanks a lot for your help, werner123. It's really appreciated.