Is anyone familiar with this? It happens only when driving. Not on stop. If I press the brake, even before it reaches the point where it slows the car, and release it. There is a little noise and the car shakes.
A common problem; is the brake booster hose, it connects to the brake booster and the hose cracks, causes idling problems and reduced brake performance. These get brittle over the years; the engine vibrates and flexes the hose, the hose cracks and causes a vacuum leak. Many times; you can use electrical tape and hose clamp, as a temporary fix; until you get a new one.
Here are some different types; depending on the engine and year.
I appreciate your frustration; however, after 14 years, parts are going to wear out and break. Pull off your brake booster hose and see if it is cracked, tape it and put a hose clamp on it, as a temporary fix. This may not be the problem you are having but it is worth a check.