I live in the hubbub of both those places. How early on Sunday do you mean? Most places open at 10:00am. Some of the places I'm listing are open for breakfast.
If you can find the Woodlands mall on a map, directly across the street they've build a new strip center called market street(looks like the french quarter). There's tons of restaurants, and shops to visit. Restaurants include: La Madeline(french bistro) open for breakfast, lunch and dinner YUMMY, chipolte(mexican), express cafe, tommy bahama's including cafe and bar, johnny rockets, grotto(italian) cold stone creamery, potbrelly's sandwiches and many, many more!!
Near the mall they've built PF changs, Rockfish grille, kirby's steak house, brio's(italian).
You can ride our new water taxi that trails around the new stores, very very pretty.
Better yet, type in Market Street the woodlands, Tx in a search engine. You'll be able to see all the fun stuff!!
I hope you enjoy your stay
