There is no better way to learn about robots than building and programming your own. The ALLBOT Robot Kit is a fun robot that you can build and control through your smartphone. It has a modular design, compatible with Arduino boards.
The ALLBOT Programmable Four Legged Robot comes with shields, 8 servo motors, plastic parts, and everything you need to put it together. The robot can be programmed to be independent. The app is available for iOS and Android devices. More information is available here.