Myetherwallet is the ETH store and the tokens use ETH platform to operate. A secure website is encrypted and almost completely confidential
Moreover, you can run your copy of myetherwallet on your pc (in super paranoid mode - without internet connection), sign the transaction and broadcast it from other machine.
Yes, very safe option. I feel safe so I don't use it nowadays.
If you take precautions from phishing sites, myetherwallet is very safe in online version too.