First let me say welcome!
It sounds like your husband is going to be working in the downtown area. There are so many different neighborhoods for you to choose from with a 15-20 minute commute. I personally don't live in the Salt Lake valley, I'm up in Heber on the other side of the Wasatch Mountains, so I'm not exactly sure how the neighborhoods in the area have grown. Rose Park area is kinda sketchy, Avenues decent, there is the new City Creek development opening that has condos, Harvard/Yale is pricey but beautiful older homes/neighborhood, Sugarhouse is nice. There are just so many different areas, maybe someone that lives down in the SL valley can chime in with better info.
Check this website out, it might help with some answers you have. http://www.utah.gov/residents/movingtoutah.html
Let us know if you have anymore questions and we'll see what answers we can come up with.