Colors, use a Colorchecker to make a shoot specific camera profile. Shoot at a set ºK, don't use auto WB, gel the flashes to match the ambient.
Once you do this on import import one image, make the camera profile, close and reopen Lightroom (or whatever program you use, and do basic adjustments to the one imported image save this develop 'recipe' including the custom camera profile as an import profile. Now import all the images from the shoot applying your custom import 'Develop Settings' to all the shoots images, all your images will be the same color. Then just tone one to taste and apply that adjustment to all the images.
Traditionally color grading was a term reserved for movie/film/video work but as the stills and video disciplines have become ever more interlinked people are using the term more broadly. Also the two stages of color work, correction and grading were separate, correction meant getting all the clips or images to the same basic and optimized color and exposure, and grading meant applying tonalities and tones and tints to create a look.
I would call getting images to have the same basic look of color and or exposure and tonality as color correction and this can include local corrections where there are different colored light sources. I'd call overall effects to create a mood or look grading and this is done after correction.