Great question! In order to get started, I would suggest watching the documentary on Netflix called "Banking On Bitcoin". It explains a ton about how blockchains work, how Bitcoin works, and how it is secure. After that, you should have a decent understanding of the underlying technology. Then I would go to Blockgeeks.com and read more about it there. They have great explanations on cryptocurrencies that will further the knowledge you got from the documentary.

After that, go research some coins and see which ones you like. Hope this is helpful!