Binance deserves more confidence than Bittrex, with whom I had problems. In fact, any exchange that keeps your funds can block you, so I stopped using exchanges using exchangers. For example, I used Coinswitch and Changenow, although the latter seemed more convenient to me.
Each person will have a different view about the exchanges because some people will like the coins listed in Binance and some people will like the coins listed on Bittrex. From the knowledge, i have both are very good exchanges but Binance is gaining more popularity compared to Bittrex. So it based on the thinking and approach and research about the exchanges.