One of the primary things that you are going to want to look for is a ping pond paddle that is going to offer you everything balanced. You want to try to find a paddle that is not too fast and one that is not going to provide too much spin. That way, you maximize the amount of control you have with each and every hit. By doing this, you will be able to master the basics and fundamentals of the game. As a general rule of thumb, as your knowledge and game improves, you should be investing in paddles that offer more speed and spin.
For a player that is just learning how to play ping pong, it is important to invest in a good paddle that is meant for learning progression. Because of the amount of options, it can be an overwhelming experience for just about any beginner.