A10-5800k & 6670 against a single gpu

Ok so I am looking to update my graphics, been online and have seen that really the highest gpu to run on my a10-5800k without bottlenecking it is roughly a HD 7770 ( was going to go with the GHz edition because it is roughly the same price as standard). So I have a few questions about what to do.

 

Does anybody know,

is this the best without bottlenecking?

does the HD 7770 (GHz) give better graphics then an amd A10-5800k and HD 6670 dual graphics?

is the possible performance upgrade of the HD 7770 (GHz) worth the price (~$100)?

 

My computer specs:

APU: A10-5800k

GPU: HD 6670

Motherboard: Asrock FM2A75M-DGS

RAM: G. Skill Sniper 8GB DDR3-1866

PSU: Corsair CX500

OS: Windows 8 64-bit

 

Any advice is appreciated, Thank You for all your help.

If you already have the APU + 6670 setup, the 7770 is not worth the upgrade. If you want better graphics, the best option would be just getting a 7850, but it's almost 200 USD. If you are looking for my performance and only have a 100 USD, save it. 

If you don't already have the Radeon HD 6670, then the Radeon HD 7770 on its own will give you better and more reliable performance.

I have personal experince running a A10-5800k+6670 and would not reccomend it.

I now have replaced the 6670 with a GTX 285 OC edition and it is infinitely better.

Interesting choice of graphics card, could you not find the GTX 295? That would have been a really interesting approach to budget gaming then.

I bought it for $14