No idea how old your kids are or what you're into but I'll give you a few..
Restaurants:
Higher end- uchi/uchiko for sushi, odd duck, barley swine, suerte
Midrange with clean ingredients- dai due, picnik, Thai fresh
Budget friendly- casa de luz, Veracruz tacos, juiceland
Diy/cooking yourself- local pastures, Mueller farmers market (Sunday), sunset valley FM (Saturday)(my wife sells raw milk there and accepts bitcoin)
Parks/playgrounds:
Alliance children's garden playground
Walnut creek- lots of hiking/biking as well as the playground
Mueller splashpad
Lady bird wildflower center
Town lake hike/bike trail
Barton springs/deep eddy for spring fed pools (deep eddy preferable with smaller kids)
Everything else:
Comedy mothership
Live music anywhere- Stubbs, continental club, Whitehorse, etc
Lots more that I can't think of
Have fun and enjoy our town!