Heres my question, my coins are currently on binance. How important is it to put them on the ledger?
Are you actively trading on Binance?
If yes, then you should retain the balance you are actively trading so you can easily move in and out of a position.
If no, then it is a priority to move it out of the exchange and secure your coins. Put them on a hard wallet to be sure you have control over your coins.