Immediately after Coinstop sent out emails saying their customers could request to have their information removed from their database if worried.
If you can, get a hardware wallet purchase mailed to a workplace or other address if possible.
Also, I've found coinspot very good, they reduced their fees a couple of years ago. I transferred a fairly small amount of BTC to my hardware wallet and within a couple of minutes, their staff phoned me to confirm the transaction!
@jongo - your hardware wallet is not connecting to an exchange as such. Your wallet is just an address where you inform the entity (an Exchange, a friend, payment for work etc) as to where to send the coins to. You tell them the public address. Your wallet contains the private address. Most wallets handle BTC, ETH and ERC20 Tokens.
