Using Binance at the moment. Is that one of the best, or there are better ones? I live in Sydney Australia by the way.
I would vote for Bittraxe, easy choice from redundancy and fee perspective. One of my friends was able to store there around 4BTC and all was straightforward enough and thanks god with no delays/issues. That being said you are free to choose any exchange, but I would strongly recommend to chose from "top 10" list, thus you can be sure that your BTC won't be scumed.