Many of you will say blockchain wallet. I use blockchain wallet.
But if we talk about transaction fees,
Its most of the times we have seen goes too high,if we have to send on high priority.
If we talk about Binance, it has minimum withdrawal fee of approx. 0.0005 BTC, approx. $3.00-$5.00
the fee asking by binance is not for transaction fee. Its for widrawal fees deducted to all who want to widraw btc from that exchange.
If you are looking for low transaction fees wallet here is the list of what i see
https://www.geckoandfly.com/23532/bitcoin-wallet-low-transaction-fees/ .