I would look for a yellow cab, and if you don't find one after 5 minutes, hop on the subway.
Subway is the quickest and most reliable mode of transportation in Manhattan.
The E, A, C, 1, 2, 3, 4, 5, 6, and R trains all stop in the Financial District.
I dislike Uber.
Uber can charge your credit card whatever they want, and you don't find out until after the ride, via email, after they already charged you.
I was overcharged a couple times, and they wouldn't refund me. Bastards.
I don't have experience with catching cabs in the Financial District, but they're easy to find in Midtown.
(EXCEPT: when it's raining, during rush hour or during UN week or Pope visits.)
I feel that yellow cab drivers are even more appreciative when you ride with them, since less and less people are using them.
Lyft has an option called lyft line- so you know what you are paying from point A to point B. The only down side is that it's their share option so the if someone calls a lyft and your driver is going their way he's obligated to pick that person up- so you'd be sharing the ride (at no extra charge to you of course!)
I've used lyft hundreds of times and I only had to share a ride once, so either it doesn't happen often or I'm just one lucky girl!
and sure the subway is another option, I'm not a fan of the rush hour crowdedness though.
I've never ridden the NY subway. Looks like that's my answer.
I have a real problem with Uber. Every worker is getting their legs cut out from them, and it wasn't like cab drivers were getting rich to begin with. I wonder who the plutocrats are going to sell their goods and services to when everyone else is poor. About ready to vote for Sanders.