Faye, it's completely safe to be walking around the Dupont area. I don't know how long it's been since you lived here, but Dupont has been very gentrified. It may be the safest part of town to be at if you're a woman, because the gay population is so big around there.
Just keep your eyes open and you'll be fine. Otherwise, you might want into a truck or something.
I don't recommend taking the bus. It's way too much of a hassle. You can just walk to where you have to go.