Sure. Okay. I think you mostly have all the information you need.
Processor:
Intel is just much easier to deal with. Something with 8 (threaded) cores should be fine. i7, you won't get any benefit from a k processor. Something like an i7-4790 would fit you fine.
I recommend you spend most on the RAM and GPU. Most gamers and normal people, and what they are using programs like AE for, are not what you are doing with them. Maya will love more RAM. For your purpose the speed of the actual RAM isn't AS important. I recommend at minimum 16, but you should probably look into doing 32. 1600 speed is fine. Multi-threaded renders and compositing will just go smoother and render faster with more RAM.
GPU I will recommend NVIDIA because their drivers play much nicer with Adobe software, period. You can hang on to your current card for a while if you want to spread out the cost, but NVIDIA will give you better bang for the buck. The 970 is nice. Titan is very nice, but probably overkill. 960 is a little lite for your specific purpose, I would look more at a 780 instead.
Power I'd do 850w just in case.
SSD is the only way to go. I'd do a single drive for OS and software personally. Either 256 or 512.
Honestly, my scratch discs are external USB 3.0 drives and I'm working with 12bit 4k RAW video files, natively, without slowdown. For bulk storage I would go external; it's cheaper, you can swap drives in and out as needed, and is plenty fast, and it can plug into future machines.
Hope that helps, if you ever have any other questions feel free to ask!
P.S. - On more industry talk, if what I can guess about your desired experience and work is right, have you considered learning and getting experience in node based compositing softwares? Only a year ago many such software packages (like Nuke and Flame were prohibitively expensive for all but those working in the upper echelons of the VFX industry, with a single seat often costing upwards of $5,000), but now that has changed. I'd recommend you take a look at Fusion 7. There is a completely free version (which is only VERY lightly crippled). It is an industry grade node-based compositing and 3D animation software. Full version is only $995. Node workflows like that are where this is going. Learn AE for sure, but check out Fusion. For free it is certainly worth playing and learning with, I promise