In home? YES!
A photo session in my home?! Why not? Your home is the place where you make the most memories. A place where everyone feels the most comfortable and free to be themselves. The way your son plays alone with his legos in his room or the pillow fights that you have before bed.
These are the moments that will instantly bring you back as life changes. The kids get older and the chaos lessens. Don't let these moments get lost.