So you want to build your own video streaming robot? This project is worth a shot. SpyBot is an internet controlled robot that you can make using a phone and Husarion CORE2. As PawełJ17 demonstrates, you can use this robot to communicate with others over your phone or just monitor your home.
To get started, you will need a mobile robot chassis, battery, and your phone. With a 3D printer, you can print components to further customize your robot. More info is available here.