Hello!
You can create an address at Cryptopia and send the coins. I do that, it has good liquidity for ZClassic.
It will depend on what pool you use but most exchanges make a point of saying not to mine to them (yes there are a few exception to this). But in general you don't want to mine to a exchange.
Yes you could use some pools that store a little on them and then transfer to exchange at a certain amount. All depends on how the pool is set up to pay out.