Day trading is indeed expensive because of the fees so make sure you make profit over the fees and this is happening on every exchanges not just on the top exchange. Binance is build of good exchange and good security so as a small time trader, I have a peace of mind on Binance and I know my profit can cover that fees so not a big deal at all to me.
As long you do know on how to play with the price movement or fluctuations then this wont really be an issue after all yet fees arent really that too big for you to
bother off even if you are an active trader as long you do know on what youre doing then you can go ahead without doubting with that small capital of yours.
0.01 BTC isnt really that small to trade on actually yet takers or makers fees arent really that high but of course you should know on how to deal with things
or else then those capital of yours would really be just eaten by fees.
So play smart and wise as always be as a trader.