There are many different choices for gaming platforms, but I will only be going over the four that are relevant at the time of making this site
The Xbox One is one of the cheapest ways to start gaming. It has the least amount of exclusive games compared to any other console, but some say that they prefer the controller for this console over other controllers. Here is the promotional video for the Xbox One.
The Playstation 4 is a home console like the Xbox One. It is more expensive, but has more exclusive games. Games tend to run with higher graphical quality compared to the xbox one. This is the promotional video for the PS4
The Nintendo Switch is currently the most expensive home console. It came out March of this year and doesn't have as many games as the other consoles as of now. It has more notable exclusives coming out soon than the Playstation 4. The Nintendo Switch also has a tablet that you take out of the dock that is connected to the TV, so you can take whatever game you are playing to wherever you are going. This is the reveal of the Nintendo Switch shown in October of last year.
You can also play games on your own personal computer. The games you can play and their graphical quality all depend on how good your parts are. The price for a PC that can run games as good as a console costs more than a console, but you can also make the quality much higher than any console if you get good parts.