First tell that ferrari-driving cheapass to install a DVD burner in your computer!
AVCHD uses a video encoding format called H.264. DVD's use something called MPEG-2. So you need something to convert from one to the other.
There are plenty of dedicated applications out there that do this, but I'm sure there are also DVD burner apps that will automatically do this conversion for you as well. Unfortunately I'm a Mac guy and don't know much about PC software, but hopefully someone can provide a more useful manner.
In the meantime go bug steve to cough up for the burner! :-)