The Falls Church City Farmer's Market is available year round. Metro accessible from the East Falls Church station and right off of 66, the market is easy to get to. It also has plenty of parking available nearby. Set up in the City Hall parking lot, it is open from 9 am to noon during Jan - March. Once the warmer weather returns in April, it starts even earlier opening at 8 am.
Not a fan of braving the cold weather to get fresh veggies on a Sat morning? Try out The Local Market in Falls Church instead. Located at 246 W. Broad Street it is open daily from 9 am to 8 pm. They have everything you'd find at a farmer's market and even more. You can get fresh farm milk, cheeses, homemade sausages and even homemade soap products!
So don't use that cold weather as an excuse to settle on less than worthy veggies. Take that drive over to Falls Church and treat yourself to some nice, crisp greenery instead!