Man best spot you want is something that's close to either of your spots. Gotta fix the logistics to make sex possible. Clyde's? meh. You're in DC, you can do better. If you wanna do an oyster bar, do Hank's. Haven't tried rappahanock oyster co, but that should be good too.
Listen to this guy if you want ...
@Hennessy
The LAST thing you want is spots close to EITHER of you, for a first date.
Psychologically women bond better with men when they are in an UNFAMILIAR environment that the TWO discovered together. Her primitive instincts kicks into overdrive allowing him to be the "hunter" and "protector", everything he does will be amplified because she's completely focused on him and not her familiar surroundings. Tribal instincts kick in if you invite her back to your place too early in the game. She'll be on high alert.
Clyde's isn't about the food, it's about the atmosphere, a lot of young professionals and celebrities hang out there and in that area. It's more about stimuli. A nice meal with some cool people around and switching it up kicking it with her on politics while walking to the White House will display his intelligence in way that isn't pretentious. It will seem more casual than anything else, which will turn her on.