Never choose an exchange that is known enough, just a popular exchange that most people/investors use.
Most famous exchanges can have good reputation and services so that you have more belief on their business to use their platform. Basically, it's a good start but because their platforms are centralized, you must know about basic warning "Not your keys, not your coins". With centralized exchanges, you must be carefully with how much money you want to store in your account on their centralized platforms.
If you only store small part of your capital on their centralized exchanges, you are reducing risk of losing all money.
Do not keep assets on the exchange! Even though there is a good reputation the risk is always there at any time so to keep the coins in a non-custodial wallet.
I only keep a small amount of assets on the exchange for the need to buy TRX or other altcoins for gambling or airdrop needs the rest do not use the exchange to store assets longer for me this is risky even though Binance has a good reputation in all existing markets.