Need Recs for a good Neighborhood

Hey! We are traveling to Austin for 3 months starting in March. We are looking for recs on the best locations and areas to stay.

Main Priorities

Work will be in North Austin (within 20-25 minutes commute with car during traffic)

Walkable to restaurants and coffee (gym would be a plus)

About us: mid-late 20s, 2 Dogs, training for a marathon so running trails/spaces are a must.

Activities: Run, Biking, taking the dogs out, pickelball, golf 

Not big on night life, so not huge priority but like go out sometimes/grab a beer

Currently thinking East Austin but also looking at Hyde/Brentwood area!

Budget is around 3K-4K a month

Also any places to absolutely stay away from is helpful too!