Different flooring or different floor colors will serve to separate the rooms even more. If you choose a carpet in a color similar to your pet's hair, you won't have to vacuum as much. Wood tones swear with some colors, and swing with others. Before you make any final decision about the colors of your room, hold swatches or chips of the colors you're considering next to your woods to see how they look together. Medium shades don't alter your sense of space.
Light colors show soil easily and dark colors show lint.
It would be frustrating to do your sewing in a room with a dark rug. It is normal to put on the floor a color at least slightly darker than the walls. It's simply observing the weight of gravity. A floor is a large area, and a whole floor of carpet will intensify the color, making it seem darker than the small sample. You may wish to select a carpet color one shade lighter than your target color in order to compensate for this.