re: Places we must go to in houston?

Beers at The Hay Merchant. Huge selection on tap. Really good hamburgers too.

Drinks at Anvil. It's a craft cocktail bar that does amazing volume. The bartenders there are freaking rock stars.

Good arse Mexican food at El Real Tex Mex. All these places are down the street from each other.

For culture, go to the Rothko Chapel. It will lower your blood pressure by 30 points.
Down the street from there is the Menil Collection, a big arse art museum. They've got Warhols, a Jackson Pollock, all sorts of cool stuff.