Some of the best centralized exchanges are binance, kraken, bybit. They have an advantage in liquidity, but the disadvantage is that the funds stored on the exchange do not belong to you. Some of the best decentralized exchanges are dydx, mango markets, wowswap. There is not so much liquidity here, but you have full control over the management of your assets, because it works through connecting your wallet w/o having to make a deposit and go through the KYC procedure for trading or staking
Why do you think it doesn't belong to you? Binance says that it is yours, and they credit it to your account, and it is yours, if you want to trade it then you can, if you want to stake it then you can, if you want to withdraw it, then you can.
Basically, you can do anything with it, certainly more than what you can do if it was in some wallet on your PC, plus you can reach it anywhere you go around the world, with just your email and password (plus 2fa probably which is on your phone anyway so it’s with you). So, I have to say that it is not a big deal, it is certainly an issue that people created out of their mind, binance account is yours, so the money there is yours, do not listen to others who say otherwise.