Strictly local bank, I've heard good things about Prosperity. Texas based banks, Frost and Comerica.
CUs, my better half used to work at Texas Trust CU, which is the former Vought Helicopter employee CU...they were/are really sharp, but I think they're mostly in Grand Prairie and Arlington though. I'm a member, as are many of my extended family members, at Texans CU, and they're very customer focused but hit real hard times during the Great Recession. Got taken over by the NCUA if I recall correctly. None of my accounts were adversely impacted, but you may want to do a bit of research on them.