Buying a House in an Optimal Location

Topic:
Geometry
One day my wife and I were looking to buy a house when we lived and worked in Washington DC. My wife worked in the State Department with the Office of the Global AIDS Coordinator in NW DC. I worked at H.D. Woodson High School in NE DC. Our other weekly activity was to play Ultimate at Blueberry Hill Park in Derwood, MD. Where should we buy a house to minimize our distances to our respective work and our weekly Ultimate game.