Hi S.,
I grew up in the Denver area and have house-hunted in, what feels like, just about every neighborhood in the city. I've read through some of these other posts and agree with all of them. You have gotten some really good advice so far.
One neighborhood that I haven't seen mentioned here is Washington Park (or Wash Park, as us locals call it). It is a bit pricey, but if you can afford it, its definitely worth a look. It is just a few miles south of downtown, and close to just about everything. It has a great neighborhood feel, and there are tons of kids and dogs. Its name was given to it due to the proximity to the park called Washington Park. I would consider it Denver's equivalent to Central Park.
If you are more interested in the suburbs, I would highly recommend Broomfield. We just moved there about 5 months ago and love it. I won't go into all the great things about Broomfield, as they have already been mentioned by others, but just know that its a great place to live.
Since your husband will be working downtown, I feel the need to offer a bit of advice about the commute and parking in Denver. If you would like to live in Denver, Stapleton, Wash Park and Lowry are all great neighborhoods with a short commute to downtown. If you want to live in the burbs, your husband is going to have a bit longer of a commute. If he does not have free parking through his job, I would highly recommend public transportation. Between gas and parking he will save a LOT of money and the commute will be only slightly longer. Denver has a train system called the Lightrail that runs downtown from some of the south and east suburbs (Littleton, Englewood, Aurora). In the north and west burbs only buses are available. I work downtown myself and take the bus every day from Broomfield. It only takes a few more minutes than it would if I drove, plus I save money and get to read every day.
Good luck with your search for a home. I'm sure you will love living here, no matter where you end up.