How to mine? Total coin supply?
You can join mining or staking when the chain goes public. Mining is much like ETH mining, although you cannot hop between Ether and YggChain, but the rig should be quite the same.
There will be limited YggCoin can be mined, but the total coin supply is not fixed nor deterministic. Remember, this is an elastic supply cryptocurrency, the circulating supply of both tokens is always contracting and expanding depend on the market demand of YDR.