I suggest you to visit this thread I made
https://bitcointalk.org/index.php?topic=3092808.msg31919039#msg31919039 as I discussed here some information about different wallet and I also discussed some information about blockchain.info as well. Blockchain.info is a good wallet as it only requires a browser and a good Internet connection. But this wallet is still buggy, and not. Highly Recommended to use for storing coins in long terms if you don't have control to your private keys.
Well, talking about securing our private keys. I also discussed it in the thread provided by the link above. There are several ways how to secure your private keys.
1. By saving a copy of your private keys in a flashdrive.
2. By printing your private keys.
3. By saving a copy of your private keys in Google drive or other cloud storage (choose trusted cloud storage). This is not actually recommended because if ever that your account has been compromised. There is a chance that people who stole it may also steal your Coins.
4. Or keep it somewhere else you think that is safe.