Self-custody is the way to go. Send your assets to a private key you control. Not your keys, not your coin. I sleep like a baby no matter what sketchy exchange is in the news any given week.
“Tortilla! Not your keys, not your coin! Eat your vegetables.”
If you really don't want to self-custody, probably the next safest option is to skip all the new crypto companies and instead use one of the traditional finance companies that's starting to branch into crypto (like Fidelity)
You either need to be day trading off the wild fluctuations in different coins prices, which requires working through an exchange, or you need to be "investing" in various scams and hoping to get your money back out before the rugpull.