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I'm sure you've thought about it, but allow me to echo the basics about DC.
I work for Uncle Sam and I go to DC every year.

You are not the target, your distracted teens are. My friends that work in DC don't carry purses. They don't worry about muggers, they worry about snatch and grab artists. Pickpockets are thick as fleas in crowded places like pubs, dance venues, and demonstrations. It's best to carry nothing that can be easily snatched. My friends in DC use backpacks and roller cases if necessary. Avoid areas away from tourist areas and popular venues, the whole environment can change in the space of a city block. After dark I only recommend taxis. The Metro is okay as long as your hotel is only a stop or two away. Obviously, my situational awareness goes hyper in DC.

One last point, you and the girls are from Texas. That means distance is no big deal to you. Folks living in DC do everything within a few blocks. Food, lodging, entertainment, and work are within a mile of them. So you and the girls will see several micro environments as you walk around DC. An area that looks okay in the daylight can become VERY scary after dark with no one on the streets.

Drill the girls to stay in groups and get back to base before dark. DC is very educational and offers lots of fun and excitement. Just be careful and keep your SA turned on.
Happy Trails! N