First check if Both Exchange have same coin ? If both have same coin listed. Then Don't change to BTC , just create Same coin address in second trade site and send it. It is more better due to Fees as well as BTC transactions.
For Example
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DOGE usually listed in almost all trade and have less fees.
You converted 0.001 BTC into DOGE
Generated DOGE address in Kucoin
Send DOGE from Binance to Kucoin Doge address.
That's it. You will recieve Doge there in few minutes.
Same way if you have Same coin listed in both trade , just generate address of that coin where u want to recieve and send. That's it.
Thanks for the advice. This is what I expected. I noticed that the transfer fee is a percentage of the coin. 0.1% on Binance. So, that is a large amount when we convert that BTC into USD.