For starters I'd suggest you stick to buying the main coins. You're best of using Coinbase since ID verification only takes a few hours. When your account is verified you can start buying coins up to € 750,- using your credit card. Wire transfers are possible as well but take over seven days to be processed. To buy smaller cryptocurrencies you, most likely, have to pay with the existing main coins. Namely Bitcoin, Ethereum or Ripple so start buying one of those.
When you've got some BTC, ETH or XRP you can start buying far more risky but high-rewarding coins by making a deposit into a Binance account. Here you can exchange these main coins for the desired smaller indices. Store these smaller
Storing your investments forms the next challenge. I'd suggest you use a wallet as available on MyEtherWallet for your main coins. NEVER LOSE YOUR PASSWORD! For real! you never know if your coins will be worth millions in the future. Store the smaller indices on Binance itself to avoid unnecessary transfer fees.
Now that you've got your investment up and running it's very important to keep track of your portfolio. Also you've got to know that to buy. This usually comes down to following what's hot. I'd suggest you use CryptoCurrency.eu to keep track of the 5 hottest currencies for free.
That's all. It's that easy... Just always keep in mind that you only invest what you can stand to lose. Welcome to the world of crypto-investment and may the trend be ever in your favor.