The only thing that people miss mentioning when they recommend using blockchain.info is to download their private keys and keep them encrypted and safe.

If blockchain.info disappeared, they wouldn't have your money, but if you didn't save your wallet, your coins would essentially be lost. So yes, the online wallet recomendation is blockchain.info, but make sure and back up your wallet offline!

+1

https://blockchain.info/wallet is the only one I use and the only one I trust, because it is the only one I know of where you retain control of your private keys.

Make sure you get a wallet backup file from them anytime you create a new address.  That way if they ever disappear for any reason, you can still access your bitcoins.