If you mean fees (instead of taxes), then yes, you have to pay fees for every transaction you make. If you transfer your coins from bitcoin.de to livecoin, you will pay some fees. If you transfer your coins to your personal wallet on your pc/phone, you will pay fees and then extra fees to forward them to livecoin. It's up to you.

But In general, you must NOT leave your coins online for a long period, you better have them in your own wallet. Electrum wallet is an excellent choice and pretty easy to use.