The Storm Prediction Center has part of the region under a slight risk for severe weather today -- essentially it's north and west of I-95 through Pennsylvania, Delaware, and New Jersey that are at risk for some strong or damaging winds from any thunderstorms that fire up.
Given that sunshine may be a bit of a premium today, the threat of severe is more on the borderline isolated side. However, the more sun that does pop through (and some of the higher resolution models do paint a bit less cloud cover in the sky than the GFS/Euro later this afternoon), the better the threat ultimately is for some severe weather around the region later this afternoon and this evening.
The graphic below represents 7 PM tonight on one of the higher resolution models -- thunderstorms are scattered around, some heavy, mostly to the west of the city. The best chance for stronger thunderstorm activity will be after 2 PM today but there is the risk of a shower or storm at any point through the day.
More: Current Weather Page