I used to make cnc's and laser machines - the beauty with laser cutting is if the operator knows what he is doing he can get his speed and air just right all the cuts will come back glossy edged and no glossing required. With router cutting you may need to burn the edges to gloss up potential risking some sort of damage.

Cost wise the laser cutters will charge a little more per hour but the job will be a quarter of the time to cut so will work out the same in the end so I would find a local laser cutter.

dxf file will be needed for cutting achieved from a cad program which can be gained for free from here - http://www.3ds.com/products/draftsight/overview/
to do yourself, but without some cad experience these 2D cad problems can be a pain. But if you posted a picture and gave me some basic dimensions I could start a file for you, send it to you and then instruct you on how to add the finer details - hole placements etc.

edit - does the playfield have any recess pockets as this will determine laser / router process. Also the plastic type may dictate that it can't be laser cut due to the release of toxic gases created.