Most of people use MyEtherWallet. Because MyEtherWallet is supported by ERC20 so alots of crypto currencies based on ethereum can be received in MyEtherWallet.
Use MyEtherWallet as a temporary storage only because this wallet is open so that other people can see what coins and tokens are there in our wallet.
I think that you are making a mistake if you use the exchanger addresses to store your coins.