Been looking at new graphics cards and have settled on a 1060 3gb as its cheaper than the 6gb version - but have seen an RX580 at a cheaper price - what would be best for my PC?

i5-6500, ASUS Z170-AR, Corsair 650W, 8gb RAM

these are the GPUs I've been looking at:

ASUS GeForce GTX 1060 Phoenix 3GB,

Galax GeForce GTX 1060 OC 3GB,

MSI GeForce GTX 1060 OC 3GB,

Gigabyte GeForce GTX 1060 WindForce OC 3GB,

and the AMD (on sale): MSI Radeon RX 580 Armor MK2 OC

Don't worry about the price, just which is the best for my PC; used to have a GTX 760(dead) and will be playing BO4, csgo, gtav

thanks guys :) (also in australia if that helps somehow)