Since we're throwing out DC recs...
-Duke's Grocery in Dupont is probably the best burger I've ever had. It's a small neighborhood spot with limited seating and I think it's gotten pretty popular, but worth the wait if there is one.
-Pizzeria Paradiso is a good brick oven pizza spot with probably the best beer selection in DC. I'd estimate they have over 200 beers in house, with several hard to find varieties. There's a location in Dupont, Georgetown, and Alexandria.
-The DC Exes spot is Duffy's, which is a dank Irish bar with pretty good wings. Get them Chesapeake style with a sauce on the side. Right next door is the Wet Dog Tavern, which has a little bit of a douche factor, but is a good day drinking spot with some decent craft beer selections.
-If you're doing the tourist thing and want a quick bite, GCDC is a "gourmet" grilled cheese spot that's about 2 blocks from the White House. I'm a grilled cheese fan, so I love this spot, plus they have outdoor seating in a prime people watching area. They serve beer too.
On the Metro vs. Uber front, the Metro is convenient, there are stops everywhere, and the trains run often enough where if you miss one you usually won't wait longer than 15 minutes to catch another. However, Uber in DC is pretty damn cheap, so it's hard to beat in and around town, and there are drivers everywhere so you usually won't wait longer than 3 minutes to get a car.