In Austin, the state capital, lots of government bldgs, ho hum. Try 6th Street, lots of great bands and music, mostly local.
Eat at O'Briens, Capital or Congressional Avenue, or ask the locals for directions to the newest hangout, plenty of friendy people.
Try Lake Travis, or the park on Lake Austin(Barton Springs), perhaps a bit cool this time of year, but beautiful scenery. Drive around.
Take US 35 south to San Antonio, find the Riverwalk(Congress street) on state hwy 181, the Alamo is right there, Hemisphere Arena, go see the Spurs play...World Champs....this year Detroit will unseat them.
Find the Silo, ole Austin Highway behind the Valero Bldg, great place to eat. Find your way to La Fogata, have the greatest Margarittas, frozen for me please. Check out their Seviche', get some of their great Mexican food(best on the planet).
Stay at Marriot, Riverwalk, take the barge trip down the river, walk around and check out some of the old Hotels (Crockett) and establishments, not to mention the Alamo.
This is the center of our Texican culture, enjoy......and y'all welcome back anytime .
If this isn't enough...I'll think of some more later...
Oh yeah enjoy some fine Tequilla, not that cheap stuff for shots, something for sipping if the weather is cold, damp and blustery.
I recommend "Reserva, de la Familia", winner 2 years in a row.....next best value "Patron", enjoy only the Anejo brands.