I'm not sure I'd trust a browser to store my coins to be honest.
I'd trust my browser more than I'd trust an uninsured, unregulated, unaudited bank such as Coinbase, MtGox, BitStamp, etc.
I certainly recognize that there can be some issues with trusting your coins to a browser though. If you feel that way, then you should also avoid
https://blockchain.info/walletI'm sure blockchain.info has far better security features than a browser.