These are, or course, two great and well established exchanges. The Kucoin ui seems a bit more straight forward, but I am personally more comfortable and experienced with the Binance ui.
As you have referred yourself on Kucoin, I have referred myself on Binance and receive a nice bonus with each trade

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As for credibility and volume traded, Binance certainly takes the crown. Binance has a much larger user base and its trade volume is ~35-40x that of Kucoin - Binance is currently #2 for trade volume on Coinmarketcap while Kucoin is currently #40.