I wish I could cut your part

To help you find someone who
can consider expanding your description, here's a few questions that come to mind...
1. So, it needs to be 39
inches by 9
inches? Also, how thick?
2. What material? Judging by the size I think you're requesting I'm going to guess MDF or plywood, which would make me assume it's 0.75" thick or less.
3. How precise do the cuts need to be? "More precise" is always "better", but figuring out what you
NEED will really give you more options, especially in the price department. ±10 thousandths should be realistic enough on a CNC router, it sounds like a lot, but considering ±1/16 of an inch (62.5 thousandths) is realistic if you're using hand tools that's pretty darn good.
4. Do you need 2D, "2.5D", or 3D cuts?
- 2D = plasma, laser, or waterjet* - used to cut sheet metal** mostly - a mock up of what you need made could be easily be made with printer paper
- 2.5D = mill/router* - used with MDF and thick sheets of plastic** - very close to 2D, but some cuts may be made with multiple passes, also some cuts may not go all the way through the material - a mock up would need to be made from card stock or card board (or multiple layers of each) to "look right"
- 3D = mill/router* - if your model has any "slopes" or "contours" then you're probably going to need 3D, which is more complicated to set up - a mock up might be made from clay or wax**
*probably other methods too
**probably other stuff too
DXF and DWG are pretty universal. I find a simple jpg render of whatever you intend to make ('specially if you have show some dimensions) helps a lot as well.