I just started trading crypto currency. This is my first time to trade. What I did is just a self study. I read everything about crypto and trading and watch videos on youtube. Some did not makes sense

One question in my mind is , is it safe to just store my bitcoins and other coins that I bought on BITTREX? I have a blockchain account but the fee when sending and requesting withdrawal is quiet high. So I decided to just store it on bittrex. For the other crypto currency, I only have ETH Wallet.
Thanks for the help.