No, I did not say you had to say that you're hacked. I said, you could say that you are afraid that your account will be hacked, so you created 2 accounts. One account has a function as a 'buffer account', to receive payments from people and the other account is for the 'saving account', i.e. where you keep your money. So, the 'buffer account' is like your wallet or something and the 'saving account' is like your bank account. So, if your 'wallet' is 'stolen', you will not lose too much money, because you have deposited it to your 'bank account'.
But you still have to deal with your main problem with the exchange thing, though. I am afraid I do not have any solution for that.