That there is fighting talk!
Ive just been browsing the world of robots beating 7 shades out of each other.
i used to be an avid fan of RobotWars (in the UK) when i was younger
I havent done masses of research (any) but i always remember that the bots were tracked, like Sir Killalot above, or had hard rubber wheels. Either way, the bots had to align the weapon with the target, which was tricky, when the target kept wriggiling! if you could away from the front of the robot, you hade it made. (or at least, lost slower)
you could run rings around othe robots if you had some omni wheels!
you could "strafe" around, spin out of trouble, and side step!
with a little interfacing of drive motors with an arduino, it could easily be controlled off a single controller too. (or an Xbox controller, would be even better, allowing for access to more buttons and controls)
That is all. As you were.