Its a simple project for beginners that you can do at home, but it cant be your first project because you have to be a little familiar with the Arduino scripting.
The car is moving by two dc motors and turn by setting one motor forward and the other one backward.
That's how my car is organised :
Note : Each battery of these is 4v and 700 mAh and its better to put them in series to get a higher voltage.
It's much butter if you solder the cables in the battery and the motors to get the 100% conductivity.
And please if you have any questions don't hesitate to ask.