There are 4 ways to get yourself some cryptocurrencies.
The safest and most practical way to do it would be to earn it. Hey, it’s a currency after all.
Take Bitcoin as an example. You can earn your Bitcoin by providing services or products to your clients, where they pay you with Bitcoins.
Another great example - you can earn your Steem Media Tokens through contributing original contents to the Steem community, as Steem is a blockchain-based rewards platform for publishers to monetize content and grow community..
Besides being earned, it can also be mined. You can invest in mining machines which would generate some Bitcoins for you, every day, as long as you hook it up to the net and make sure it is functioning. However, there are some technical and product knowledge required.
You can also trade for cryptocurrencies. You can buy it with your fiat money through exchanges. A sense of market trends and technical analysis using some trading tools might be helpful. It is quite similar to trading forex, shares, and similar financial products. Only this time, it is cryptocurrencies.
The last resort to go for a cryptocurrency would be somehow not encouraged at all - whatever illegal or unethical move to own a piece of them. This includes but not limited to the infamous ransomware, hacking, stealing (digitally) etc.
It all goes back to personal preference when it comes to how you want to get yourself some crypto. Have fun!