I’m about as far west from the Galleria as downtown is far east so it’s not really my area.
My favorite “nice” place in Houston is Brennan’s, the Houston outpost of the venerable New Orleans restaurant dynasty.
Also within your geographical parameter is Uchi. I had a great birthday dinner there once and had a blast at Uchiko in Austin a couple of times.
Lambsy eats better than I do and often eats in that area, so I would definitely listen to her advice.
But if you want “downmarket” way out west, I’m your guy!
