I’m in the NYC area, but I’ll offer you some advice on Washington, D.C., which is one of my favorite places to visit.
I don’t know how much you know about DC, but a lot of the stuff you want to see is all together in one place. It’s called “The Mall.” It’s pretty big, so bring your walking shoes, but it has a ton of great things to see and most (all?) of them are free! It’s a long, grassy area with the Lincoln Memorial on one end the Capitol on the other, and the Washington Monument in the middle. (You’ve seen the mall many times in news footage. For example, Martin Luther King, Jr. made his “I have a Dream” speech on the steps of the Lincoln Memorial to a crowd assembled all down the mall.) Here is a handy map. There is a Metro stop right on the mall.
Here are some highlights going from west to east:
–The Lincoln Memorial: Go up into it and look at the big Lincoln. Marvel at how many movies have scenes set on the steps!
–The Vietnam Veterans Memorial. IMHO, the most moving memorial there is.
–The Washington Monument. Not much to see, but it’s the big landmark. You can go up it and look out, but I think you have to wait on a really long line.
–The Holocaust Museum. I haven’t seen it, but it’s supposed to be incredible. You may have to call ahead for a ticket.
–Smithsonian American History Museum. My favorite. It has tons of cool stuff in it. This is where they keep Dorothy’s ruby slippers, etc.
–Smithsonian Natural History.
–Hirshorn Museum. It has a wonderful sculpture garden.
–National Gallery (East and West). East has more modern art.
–Air & Space Museum. Perhaps the most popular of the Smithsonian museums–with good reason!
–The Capitol.
You could easily do the mall in a single day. If you start with the Lincoln Memorial, then go to the Vietnam memorial, walk by the Washington Monument, and then wander in and out of any of the museums that interest you, I’d say you will have done a good job of sightseeing. Do that on one of the early days, so you can go spend more time in the museums if you want. There is a phenomenal amount of other things to see and do in D.C., too! A Capitol tour or a tour of the Supreme Court might be nice if you’re interested in American politics or law. It might be worth seeing if there’s a 1/2 day bus tour that will take you to more far-flung sights, like Arlington National Cemetery and the Jefferson Memorial.
There is a lot to see in addition to the typical sightseeing stuff. It’s a great town.
FWIW, I did a whitewater kayaking clinic on the Potomac with this Danish guy. He insisted that he hated cities, and had no desire to see anything in DC. He claimed that nothing in a city could possibly interest him or impress him. We had a 1/2 day off, and I dragged him to the mall and made him do a little sightseeing. He had to admit that he was very impressed and enjoyed it very much. 