Are Web Wallets Secure? I normally keep only small amounts in a web wallet because I heard that web wallets are not secure. The rest of my Bitcoins are kept in cold storage in my safe. 

I'm just wondering if you have any experience with web wallets, if they have gotten hacked and/or if you think I should worry about it.
With web wallets you need to be careful. As you stated, if they get hacked and they store your private keys, your Bitcoins are at risk. You really just need to ask yourself: 


how risk adverse are you? 
can you afford to lose your coins? 
does the convenience of a web wallet outweigh the risks?