Should I consider 1060s?
It depends on how quickly you want to get started. The quickest option would be to go with 5 1060 6 GB cards for around $260 each. That should give you ~130 MH/s at around 500 W of power @ 60-70% TDP. You also need to upgrade your PSU, as a bronze PSU running under load 24/7 is not going to be up to the task. An EVGA G2 850 W for ~$130 would give you enough wattage and connections for up to 6 1060's.
The better option would be to go with 6 x RX 470 4GB cards for around $200 each. That would give you ~165 MH/s at around 600 W or around 750 W if you dual mine. The problem is finding multiple cards in stock without getting gouged is going to be tough.