My favorite exchange is binance. very fast. and most importantly reliable, and trust is the most important reason for everything.but no matter how safe it is, there is always a risk,Like mt.gox.the money received from this face must be sent to the wallet.
I always highly recommend this exchange, too. Since I am using this and adopt it easily. I also agree that we must still transfer it to our wallet for double security. Binance is a great choice since most of the updated tokens are there unlike other exchanges which updates their system too slow.
I also used binance in trading tokens and it is quite simple to use. You can also use your own personal referral link to earn some commisions and I really like that thing in binance.