Domestic Long Hair is a coat description, not a breed. Shelters use the label for mixed-ancestry cats with long fur, so you'll see tabbies, calicos, solid blacks, smokes and bicolors, sometimes with a ruff or ear tufts that resemble a Maine Coon or Persian. Size, build and personality differ from cat to cat, and the label says little about how a particular cat will act.
What these cats tend to share is a coat that needs regular brushing to prevent mats and hairballs, along with the broad genetic mix that often helps keep mixed cats healthy. In Alexandria, where rain and humidity are constant, a cat that lives indoors stays cleaner, avoids burrs and mud in the coat, and is easier to groom. Spend time with the cat before deciding.