Binance has demonstared trust over time even when they were hacked. Bittrex also seem decent and I am on a look for BitMax, they are currently doing well beyond my imagination.
I have no doubt using Binance. But Bittrex is now requiring KYC, so not using that exchange anymore. I used to trade some alts before in Bittrex. Other exchanges mentioned by the OP are popular ones. But even though they are known to the community, it is always better to safeguard your coins. So as much as possible, secure your coins in your own wallets.
Binance is no doubt much better than Bittrex at the moment. Before I like Bittrex but until one day they disabled my account all of a sudden,
due to that, I need to submit KYC then my assets were there I submitted or comply the KYC for the sake of my token that was stored on Bittrex
then after I verified my KYC I withdraw all the assets I have in there. One more thing Bibox, Lbank, Houbi, and Okex was also a good exchange too.