Domestic Medium Hair is a coat description, not a breed. It covers mixed-ancestry house cats with fur longer than a shorthair's and shorter than a longhair's, usually with a full tail, tufts between the toes and a soft undercoat. They come in every color and pattern, and most weigh between 6 and 14 pounds. In Royal Oak, where a cat might share a small condo or a house with a yard, that medium size is easy to accommodate.
Because their ancestry is mixed, personality varies widely. One cat may be a chatty lap sitter and the next a shy observer who needs a few weeks in a quiet room to settle. Plan on brushing a few times a week, and more during spring and fall shedding, to keep mats and hairballs down. Spend time with a cat before deciding, since temperament matters far more than coat.