What are the advantages and disadvantages of these two methods to store your coins?
If you can buy a hardware wallet, then definitely a hardware wallet is recommended. There are lots of reasons, but if I want to say it in short, it will be like this: Exchange is controlling your funds. You didn't hold your funds in exchange. You held your funds in the company wallet and they have full control of your money. But in a hardware wallet, you create your own account where you hold your money in your own wallet. As a result, you are the sole owner of your money.But remember, do not share your seed. If you pass, both hardware and exchange are safe to use, but always use the best exchange like Binance, Ftx, etc. And, if you're looking for a hardware wallet, don't buy from a third-party website just to save a few dollars; it could be dangerous.It might come with a virus. Always buy from the official website. That's it. Thank you.