I agree that 600W seems a bit low, while i am afraid going into the noname PSU as well. Its probably more preferable choice of those 2, sadly.
Bottom line, i found it difficult to believe you only have those 2 PSUs to choose from, now i realize you have no reason to lie about this, but it still seems odd. If you lived outside of Europe, it would be understandable, but Greece? Seriously? I get its not Germany or England, but then again i live in Slovakia, which is not really that different from Greece (meant as its not the top western-european country either)...and we have no such issues here. Lot of possibilities, when it comes to hardware.
My best advice would be therefore to find a way to get, what you need.
One more thing, as Rahal says, you dont really need the 6core CPU for gaming, but i am not going to tell you not to get it, if you want either. I bought one myself 4 years ago as well, so who am i to tell you not to buy it, if you want it, hehe. I was not buying it for gaming back then, it was meant for work too, but still...it makes more sense now than it did back then.
If you are not on unlimited budget though, think about replacing the 4960x for 4930k at least, it will be 400-500 EUROs cheaper, while equally powerful. It does not make much sense to buy EXTREME sixcore CPU either. as this summer it will be replaced with 8-CORE version and the six-cores will most likely replace the current quads in the higher mainstream segment of market. In other words. you will be able to buy equally strong CPUs for one third of the current price most likely in few months...so its waste of money IMHO.
One more thing, the LCD displays. If you wont go into more profi IPS panels from either HP or Dell and stick with Samsung, dont forget to look into displays with that Nvidia G-sync technology! Its probably going to help a lot with stuttering and screen tearing in games....