Domestic Medium Hair is a coat description, not a breed. Shelters use it for mixed-ancestry house cats with fur longer than a shorthair's but without a longhair's heavy ruff: often a plumed tail, tufts between the toes and a soft undercoat. They come in every color and pattern, and most weigh 6 to 14 pounds.
Because ancestry is mixed, personality and health vary from cat to cat, so meeting the cat tells you more than the label does. In Hamilton Township, where a typical home is a house with a yard, these cats usually do best as indoor companions with a window view, a tall perch and a regular brushing habit. Expect extra shedding when the seasons change and a little more brushing than a shorthair needs.