Are you in the city or outside? I'm about 45 minutes outside and we don't have a zoning restriction here in Amelia (hence the rooster and our first bunch of chicks).
Here are some of the rules for different cites in Virginia.
VIRGINIA
Alexandria, VA. It shall be unlawful for any person to keep or allow to be kept within the city, within 200 feet of any residence or dwelling not occupied by such person, any fowl, a provision that essentially precludes chicken keeping.
Fairfax County, VA. Fowl, such as chickens, ducks, turkeys, and geese, may only be kept on lots that are two acres or greater. They shall not exceed the ratio of one bird unit per one acre, with a bird unit defined as: 32 chickens = 1 bird unit;16 ducks = 1 bird unit; 8 turkeys = 1 bird unit; 8 geese = 1 bird unit. Only fowl six months or older are counted in the ratio.
Falls Church, VA. Chicken keeping falls under requirements for stables, which must be 40 feet from a residence and have the written permission of the city manager, said Becky Keenan, the city's animal warden.
Frederick County, VA. Frederick County, Virginia laws only say you must keep fowl fenced.
Henrico County, VA. Poultry permitted if kept 400 feet from adjacent property.
Montgomery County, VA. A chicken coop can be no closer than 100 feet from neighboring structures where people live or work.
Newport News, VA. A chicken coop can be no closer than 175 feet from neighboring structures where people live or work. And 300 feet from any school. So as you can imagine, not many city lot owners can keep chickens *legally*.
Richmond City, VA. No person shall keep, place or maintain fowl on any parcel of real property in the city which contains less than 50,000 square feet in area.
Richmond, VA. Can only keep chickens if your lot is 50,000 square feet or larger.
Fairfax City, VA. Chickens are allowed in residential districts R-1 and R-2. Animals can be kept no closer than 100 feet from a property line.