Upgrading a pre-built desktop

[charax]

I own a HP Envy Phoenix 810-082d desktop.

CPU: i7-4770
GPU: GTX 660
Motherboard: MS-7826 (kaili)
PSU: Internal ATX 600W
RAM: DDR3-16GB

It has a GTX 660, but I'm looking to possibly upgrade it to a GTX 960. Im rather clueless about all of this hardware, so i was wondering if the upgrade is possible?

Is the current PSU sufficient to run a 960? and dimensions wise would it fit? The DP/HDMI/VGA ports are the positions of it compatible with a new graphics card too?

Or would getting a new PC case and shifting all the parts over be easier sorry if anything i said is incorrect! With comex going on, im looking to upgrade my PC

Thank you!!

(im unable to post an image or link of the internal of my pc sorry)

 

[Elijahonli]

your PSU is capable of running it... clearance i think should be enough also

 

[shadey]

You'll want to check if you have 2 6-pin PCIE power cables as well