Exchanges now are not a safe place for storing crypto. If you have money you can buy Ledger(strongly recommend), or use MEW for ETH and ERC-20 tokens. Or use blockchain wallet of crypto which you have.
Ledger is enough to store bitcoin, altcoin, and tokens base on ethereum especially with a ledger release a new version hardware called Ledger Nano X that supports more tokens in the hardware.
I am sure there are any exchanges that still safe for storing coins, but it's not recommended to store all of the coins in the exchanges. But if we are day trading, then it is fine to keep for a while in the exchanges because we can directly withdraw the profit in bitcoin to the other wallet.