Yes right now the 1060 is the cheaper choice but be extremely careful to not buy the 3 GB card as you can almost not mine any Ethash algorithm with that card with the only exception being the ETP which you can mine with Winminer.

Buying the 1060 6 GB is the perfect choice as you can find used ones to 200-230 USD so you can build a 6 Gpu rig with these cards at 1.5K dollars and to have about 145 mhs as hash rate. That is 35 mhs lower than Rx 580 but it is also 50-55% cheaper in energy price.

The above is for people paying energy, as for OP get even RX Vegas if you can or R9 390 which are power beasts in energy consumption and hashrate and are the perfect cards for you to get.