An Eastern Cottontail photographed early in the morning at Arbor Hills Nature Preserve, Plano, Texas.

Wikipedia has this to say about Eastern Cottontail habitat:

Optimal eastern cottontail habitat includes open grassy areas, clearings, and old fields supporting abundant green grasses and herbs, with shrubs in the area or edges for cover. The essential components of eastern cottontail habitat are an abundance of well-distributed escape cover (dense shrubs) interspersed with more open foraging areas such as grasslands and pastures. Habitat parameters important for eastern cottontails in ponderosa pine, mixed species, and pinyon (Pinus spp.)-juniper (Juniperus spp.) woodlands include woody debris, herbaceous and shrubby understories, and patchiness. Typically eastern cottontails occupy habitats in and around farms including fields, pastures, open woods, thickets associated with fencerows, wooded thickets, forest edges, and suburban areas with adequate food and cover. They are also found in swamps and marshes and usually avoid dense woods. They are seldom found in deep woods