Trying to replace a gtx 960 with a 1060, but I don't know if it will fit

Solution
1060 is kind of entry level for VR, you would want a 1070 :) I would suggest try VR with it. Wait for 1150 ti low profile to come out, rumor says it will match 1060.


size of case:
Width - 13.5 in
Depth - 12.5 in
Height - 3.7 in

PSU:
I don't know if I have a PSU. Does an external power supply count?
Much of the label for it is in chinese, but I see the number 330 many times, so I am going to guess it has 330W
 


This (https://imgur.com/LuObyam) goes into a port on my PC. I assumed it was my power supply.
I'll take a bit to open my case and find the power supply.

also, what would be a good watt amount for a 1060?
 


The case height is 3.7 inch. Just measured it.

 


Oh..
So I wouldn't be able to upgrade my graphics card then without a new case? (Assuming cards higher than the 960 require the same/more space than the 1060)
 


I was planning on getting the oculus rift. I ran the steam VR check and, on a scale of 1 to 10 (1 being not able to run at all and 10 being perfect), my PC is about a 4.