I live above TriBeCa and take walks into and around this area often. It's quiet, usually on the emptier side, and hosts a few gems of restaurants including Tiny's, Takahachi, and Odeon - all on the same block of West Broadway.
Economy Candy is an old-fashioned family owned candy store in the Lower east side. With glorious aisle after aisle of candy stocked as high as the eye can see including innumerable brands you never knew were still in production – its a treat for the eyes as well as the belly. Every time I get inside I'm looking for Willy Wonka.
This is a great park, from free concerts to summer to the Brooklyn flea markets over the weekend or take the ferry across the river. Rain or shine I never get sick of that view.