Arduino Uno with a Seeed Studio motor shield and an HC-05 bluetooth module. I designed the chassis in Autodesk 123D. I created the android bluetooth app using MIT App Inventor 2.
The battery case, power switch motors and motor plates came from Radio Shack (I actually built this in 2016). The LEDs are just some bling I added as placeholders for things to be added later (still haven't added anything).
I used Autodesk 123D