There are two ways to look at crypto coins:

  1. Money
  2. How does it work?

1. Money

Buy coins at an exchange, just some examples:

Coins need to be stored in a wallet. Sometimes the exchange offers the wallet otherwise just search for coin-specific wallet software.

Coins move up and down in price. Use portfolio software to track them, for example:
Delta - Android
Delta - iPhone

Using portfolio you can also simulate a buy / sell action and see how your portfolio would have grown if you did invest in crypto.

2. How does it work?

Crypto coins explained:

Blockchain explained: