Yeah, this is awesome. Well, coinbase is a perfect place to get started with crypto, especially for the beginners. The good thing coinbase is it connects to your bank when needing to buy or even cashing out. MetaMask is a good wallet to store your tokens and its very easy to use.
Never tried using that wallet as I'm stick only in ethereum dot org.. So how was the security? Maybe I can switch to that if you can provide me a good details.

Hmmm... I think you're a new trader and trying to find a good one to help you. Security is fine as MetaMask is popular with many users today. It is a web browser software wallet that works with Google Chrome so you need to install it in your chrome browser. Here's a perfect article to guide you how to store your ETH from coinbase to your Metamask wallet.
Hopefully that could help you.