my question is, do I need to worry about my bitcoins I hold in my online wallet? Will it be safe? What can be the consequence of of August 1st network split on my bitcoins?
Can anyone please give me an answer?
Yes you and I will worry for our bitcoins that are in online wallets so why not just merge your funds there into your hardware wallet?
The only consequence that you will get if you will remain your bitcoins at online wallet, it's either you won't be getting BCC.
The best thing to do is to put them altogether in hardware wallet.