Allow me to make a simple list. I will try to explain more later.
Camera, taking the image
Monitor and view conditions
Manually adjusting variables to the print.
Like the previous answer a lot but if you want the most accurate color you can also buy a color card, something like the X-rite color checker card. Then once you get your images into Lightroom / Photoshop, you can color balance your way back to reality. If you had a scanner you could scan the X-rite color card, and get even closer by using a color picker to ...
Lighting is the place to start. You want a very high CRI for color critical work. Tungsten hot lights are the most accessible way to get that.
Second piece is an accurate gray card.
Third piece is a camera that allows setting the white balance off the gray card.
But with a good tungsten bulb, the color temperature will be right at 3200k.
If you use LED’s or ...