What the heck are you talking about. ETC is Ethereum Classic i.e. classical ethereum blockchain. After the DAO accident Vitalik made decision to roll back all transactions to the moment before the DAO was hacked and Ethereum had been splitted to Ethereum and Ethereum Classic. They both has the same structure and even same blockchain before that accident. That is why ETC is not ERC20 token. It supports ERC20 token standart.
What concerns the wallet. You can use the same wallet and even the same address as for ETH. I recommend myetherwallet. Be careful, avoid fishing sites. Always go to myetherwallet only through your own bookmark.