Kensington Place cost $1,700–$6,153 per month. A couple amenities for this apartment building include but are not limited to: fitness center and elevator. Located at 2264 York Drive, Woodbridge, Virginia 22191, United States, Kensington Place has 1 — 2 bedroom units available. Based on the average rent price of 2 bedrooms in Woodbridge, renting an apartment at Kensington Place is 189% more expensive per month.Other apartment buildings in or around Woodbridge include but are not limited to: 3937 Penshurst Lane, 4511 Colony Court, 7131 Silver Lake Boulevard