Paper wallets are very safe. Check out my website:
paper-wallet.net
I still have a lot of work to do in order to improve my website, but it works already for some currencies.
Paper wallets are really safe if they are created offline using Bitcoin Core, Electrum, Armory, CoPay or Bitaddress.org. But, unfortunately, your website does not seem to be safe. May be, as it is under construction, I did not understand its working.