Not sure I am an "expert" but . . .
As you have already identified, the image degradation, usually described as image "noise", is the result of the less light striking the image sensor surface. Without changing cameras or camera components, you are probably limited to slowing your shutter speed, as much as circumstances allow. More open shutter time will allow more light to "hit" the sensor.
Otherwise, the quality of your image depends on your choice of camera or lens. In the old days, we paid more money and bought faster lenses. Now, you may be limited to the installed lens, especially in the range of cameras that I can afford. That means it is important to pay close attention to the speed of the installed lens while buying the camera.
In the old days, we also chose film that performed as well as possible in the light conditions we expected. Now, the image sensor and associated electronics in the camera you purchase provide a similar contribution, or limitation. When choosing a camera I can afford that performs well in lower light, it has been helpful to find a review website which consistently rates the "noise" contributed to the image by the sensor and electronics. This is a great chance to employ the old adage, "less is more'".
This is a fairly basic explanation and may not address your question. If so, my apologies, sir.
Oh, and I see there are people who think and/or type faster who have offered similar input while I typed mine.
