There is no better way to learn about robots than building and playing around with them. Robot arms have not always been cheap but these days more affordable models are becoming available. Take the Hexbot for instance: it is a modular desktop robot arm that is ready for drawing, laser engraving, 3D printing, and picking & placing.
The robot has 0.05mm repeatability and max payload of 500g. It has 5 different end effectors and an intuitive programming software. With computer vision kit and linear rails, you can do even more with the robot.