If you've never dealt with snow then northwest NY, NE in general will be interesting come winter that's for sure. It's not terribly uncommon for northwestern NY to see 12" of snow. Closer to the shore there are hurricanes to be concerned about for a month or two around now actually, but over my almost 40 years there have only been maybe 2 or 3 that were really troubling. It's usually just a lot of rain and really high winds.
I'm not sure how Austin gets, but the heat is disgusting for about 3ish months out here (NY) so you wouldn't really be escaping much except maybe the hot season is shorter. It's almost never dry heat though so we can have 90° days that are like 109° heat index because of humidity.
The only thing I can say with absolutely certainty is avoid Long Island like the plague unless you really love overpopulated areas full of assholes and disgustingly, almost comically, overpriced housing. The bagels are amazing though lol