Where should I keep my Dogecoin?

I'm new to the cryptocurrency world and I've just purchased some Dogecoin. Now, I'm a bit confused about where to securely store it. Should I keep it on an exchange? Or is there a better, safer option? What about hardware wallets? Are they suitable for Dogecoin? And how do I know which wallet is trustworthy? Could you please explain the pros and cons of each option and guide me on making a decision? I want to ensure my Dogecoin is as secure as possible.