What’s the best wallet to store crypto?

I’ve currently got most of my crypto assets on Coinbase (around 11k worth rn), with some on CDC and Binance. Is this safe? Or should I use a wallet? I’ve never used a wallet before as I’ve always stored crypto on CEX for a couple years now with no problems, but I keep seeing people here and there on Reddit saying it’s safer to transfer crypto to a wallet after purchasing them.

Why is a wallet safer than a CEX? As I’ve also heard of people getting scammed from their wallets by seeing a random token appear for example. This hasn’t happened to me on CEX.

What wallet apps are the best/safest? And how exactly do they work, if I wanted to sell a specific crypto do I just transfer that crypto to CEX and sell from there?

I would really appreciate someone with experience to clarify wallets for me!