It depends which exchanger you choose to trade. Like I kept some coins 900 USD worthy in Binance to trade, still, I haven't withdrawn them, they are safe in Binance exchange, the same thing I did in bancor exchange. So. if you trade in well-reputed exchanges which have strong security options then I think you can keep your tokens there. No need to spend some extra fees.
Binance have a track record of dealing with security risk and refunding victims when there are any breaches but as always you can't be certain that a major exchange is fully safe, many people did that with mt.gox and look how that ended up. If Binance lost all users funds they'd be in no position to repay the victims.
Withdrawing daily sometimes is not always the thing, as what is important is to even make your account secured and at least have some little trust on the exchange you are using, which if you know the trust is shaky, you should not even be using it in the first place. The reason why I said little trust is because no exchange can be trusted completely, bullshit happens and you really want to be sure you are not trading with what you cannot afford to lose. Most of the time, the choice is always left for you but the only thing I will advise not to ever do in margin trading is to leave a position overnight without at least setting a stop loss as that would be a terrible idea.