There's a popular slogan in the crypto space "Not your keys, not your coins", which simply means you're not in completely control of your coin except it's stored in your personal wallet. So I wouldn't advise you to store your Bitcoins on exchange because it could be frozen by the exchange, you could lose it if the exchange go bankrupt or get seized by the government. My advice is that you get a reputable open source software or hardware wallet and store your funds, by so doing you're in custody your asset. The exchange should only be used when you need to swap your coin, except you're a trader.