What time are you arriving ng in DC on Tuesday? If after 6:30 you can find free parking in residential zone. If you plan to arrve around 4-6:30, it's better to park on a public parking. DC is notorious for ticketing and towing the car in rush hour, which is 4-6:30 in the evening. After 6:30, you can pay for the street parking. The best option is to park somewhere on 15-16th street and walk to White House and the memorial. I lived in DC for 7 years and delivered pizza. So, I may be the best person to suggest you on your DC trip..