you can start with one gpu or 6. what ever fits your budget now.
I would recommend going for the larges PSU you can afford as most of your problems will be due to power.
The thing is that 1070s can use very little power or a lot(200W). Depending on what you mine. If you find a coin that is really profitable then you don't want to have to limit your self because the PSU is underpowered.
In a perfect world, you should run a PSU at 80% max. If power cost is a driving factor. And with Return on Investment sitting at +5 years it is. Then you might want to over-invest in a platinum psu.
In short, you need about 1700W as you will be using max 1200W for the GPUS and 100W max for the system. Two 850W should work but my go-to PSUs are the Corsair RX1000. Two of them in the system and you will not have any problems.
But that said just buy BTC or ETH now and don't wast your time.