Poliniex is just fine for me, I don't like bittrex anymore because they are asking for personal informations and for unverified account withdrawal limit is too low.
It's due to KYC and they had to do it so they can monitor people that are using their service. But I don't use them anymore, I don't like that thing too. I'm not comfortable of sending my information to an exchange.
I know many are still trusting and using them because they love on how they give satisfaction for their service but for me, that's the only thing on what I don't like.
I've never tried binance, is it good exchange?
Never tried it too since I'm sticking with some exchanges but with reviews throughout the forum, many are using them. Also try to read these reviews
https://www.cryptocompare.com/exchanges/binance/reviews