Yep, you and everyone else is going to have to be worried if you're still holding on that date. If you want to continue to hold your bitcoins, I'd move to a wallet which you have full control of -- one of these options could be a paper wallet, or really any wallet in which you and only you have the private keys to it.
I know the exchange which I use, Coinbase, is not going to be supporting Bitcoin Cash in the least -- so if you want to access Bitcoin Cash, you'd have to steer clear of them. There is going to be disruptions in the price, problems with the network more than usual, and so on, but the only thing you're going to have to do if you want to avoid all of this is to sell it.
So, you do have a decision to make OP (Roll the dice here, or simply sit back)
Its should be need to move your funds into safety place since admin of this forum giving us already about warning that we can see above as news.
Because there are possibility our funds will gone so to be safe of our investment and bitcoin we should transfer our funds in the safety place or wallet..
The best for me right now is paper wallet or just i keep the private keys and the notes..
Or transfer it into electrum keeping our bitcoin in web wallet are also not safe and exchange site so better to move coins before august 1..