MyEtherWallet.com supports ETC and ETH.  There is a dropdown in the upper right to select your coin.  It accepts TREZOR, Private Keys, and other passphrases to send your coins and ERC20 tokens.  It integrates with various blockchain explorers for both ETH and ETC.  It also will let you create ETH and ETC wallets if you want to test sending $10 or something first, before you send to Bittrex.