Wow, thanks for all the help everyone! Sorry for delayed response. Never ended up building that rig four years ago but this time I'm definitely doing it.
I do have a MC near me--but the prices look to be about the same to the PC Part Picker aggregations, right?
Wrong, the MC deal is better. You need to look more closely at the individual items/prices and analyze what is included. Plus MC just dropped the i5 6600K to $199.99. In addition, it easy to return anything if you have a problem and get an immediate replacement - much better than having to mail something back and wait for a replacement item to show up a week or two later.
I have a 21" LCD monitor from about 8 years ago but should probably replace it since it's super bulky and I'm sure the technology has improved a lot since then.
Yes get a new 27" 1440p monitor. MC has them from $270.
Primarily play FPS like Overwatch and upcoming Battlefield 1. Also might try Legion. Budget can go up a bit if the 1070 is really that much of an improvement!
And I generally don't need a ton of storage so sticking with 500 SSD is definitely sufficient.
Yes I included a 500GB M.2 SSD drive and a GTX 1070 in the MC purchase recommendation. You can then run virtually any game at 1440p resolution (2560 x 1440).
Is 2x8GB memory a big performance upgrade over 2x4GB?
Yes you want 16GB for a system today.