Native born Austinite here. You will not have any particular problem finding a nursing position as a RN or a LVN (LPN) in Austin so long as you have at least a couple years of experience under your belt.
In terms of tech/game work for your husband....well that is not so rosy right now. My husband is in a tech related field and has been laid off 3 times in little over 2 years. It really depends on the specifics of your husbands tech background, skills and experiences. Project managers with a certificate and good computer programming or IT skills are doing very well right now, civil and electrical engineers are also thriving. The gaming industry locally has been hit rather hard by the closure of one of the bigger companies. Bottom line I would strongly suggest your husband begin his job search
Austin has a motto: keeping Austin weird lol. That is because we are an unusual bunch down here. Dogs, kitties, kids, alternative lifestylers, artists, old hippies, passionate folks of all kinds find a haven here. It is hotter than Hades 4-6 months out of the year, weather changes on a dime, more cars and roads than you can imagine and still tucked away here and there bits of the hill country I remember from my childhood. Yeah, I love Austin.