Can I buy ADA with ETH?

Could you please explain to me the process of purchasing ADA using ETH? I'm a bit unfamiliar with the cryptocurrency exchange process. Could you guide me through the steps? Is it possible to do this through a crypto exchange platform? If so, which platforms would you recommend? Are there any fees involved in the transaction? Also, would I need to have a crypto wallet to store my ADA after the purchase? Could you provide some safety tips for conducting this transaction securely? Thank you for your assistance.