What would happen to your bitcoins when a hark fork occurs.Just you have to wait and watch.You will own bitcoins on both forks.If you have stored it in your hardware wallet,no need to worry.but if you have stored your bitcoins in an exchange wallet,then you have to follow their rules.They may temporarily suspend the deposit and withdrawal of bitcoins for 24 or 48 hours.Most of the well known bitcoin exchanges have revealed their plans that if a hark fork occurs, they will list both digital assets BTC and BU creating another account for their customers.But initially, they may suspend bitcoin deposit and withdrawal for one or two days.
What about localbitcoins.com?
I have some btc in localbitcoins and i don`t know anything about their "hard fork policy".
Maybe i should ask customer support.
Suspended deposits/withdrawals for 48 hours aren`t such a problem.