Flash animation

Hey folks,
I have a project that involves flash animation- almost movie like. I need some advice on how to do flash animation. I think I’ll create the graphics in illustrator.
Basically, the storyline is this:

  • guy leaves house and walks to car
    -starts engine, puts on shades and speeds off
    -scenes of downtown chicago (nightlife)
    -view license plate

What is the best way to do this? create graphics in illustrator for frame by frame? Should I use after effects?
The client doesn’t have a high budget so video is out of the question.

Thank you in advance.