There is no such thing as "bottlenecking"
If, by that, you mean that upgrading a cpu or graphics card can
somehow lower your performance or FPS.
A better term might be limiting factor.
That is where adding more cpu or gpu becomes increasingly
less effective.
Try a simple test:
Run YOUR games, but lower your resolution and eye candy.
If your FPS increases, it indicates that your cpu is strong enough to drive a better graphics configuration.
If your FPS stays the same, you are likely more cpu limited.
Perhaps a bigger issue is that a GTX1060 is only two tiers higher than a GTX960 on tom's gpu hierarchy chart.
You may be disappointed if you do not see big results.
https://www.tomshardware.com/reviews/gpu-hierarchy,4388.html