GTX 970 with i7 4770k vs GTX 960 with i7 4790k for gaming, streaming and video editing?

Depends on the ratio. If you will be doing more gaming get the 970, if you will be doing more video editing go with the 4790k.
Also I would recommend a 1060 instead of a 970 should you pick the gaming route. It performs better and costs about the same.
 
The only advantage of getting a GTX960 is the lower power draw and resulting heat. The GTX 970 is much faster and will take a less noticeable performance hit when streaming using the Nvidia encoding tool (don't remember the name). On the other hand you will only notice the difference of 4770k vs the 4790k in bencmarks.

To sum it up:
- if you value fast graphics and high quality settings, as most gamers do, get the GTX970 + 4770k;
- if you value quiet and low power PC with a more powerful CPU (as i did with mine GTX960 + 4690k), get the GTX960 + 4790k.
 

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