I'd say Binance is about as safe an exchange as you're going to find, but I still wouldn't trust them (or any crypto exchange) completely, and that's just based on the history of hacks and various other disasters that have befallen exchanges.  If you're going to try to earn some passive income with them, I would probably only risk a relatively small amount. 

I've never even heard of crypto.com, but my high level of ignorance is due to the fact that I don't do a lot of trading. 

OP, I understand your desire to put your crypto to work earning income, but I just think it's a bit too risky to do it through an exchange.  You might be better off just holding onto what you've got and hope for some nice capital gains down the road.