S.W.
Hi and welcome to Minneapolis! I've lived in several areas around the Twin Cities for the last 30 years. Based on your need to get downtown to work and to the airport, I would suggest you consider Eagan to rent/buy. I lived there for almost 20 years and my daughter (5th grade) goes to school there since my ex is still there.
Downtown is about 20-30 mins by freeway (dependent on rush hour traffic, and weather conditions of course) or 20 mins by express bus. I loved taking the bus, it's so easy. The airport is about 15 minutes from most locations in Eagan.
Eagan is very family-focused with a park within one mile of every household. The schools, especially ISD 196 Rosemount-Apple Valley-Eagan, are excellent. There are water parks, a YMCA, and many other amenities.
http://www.cityofeagan.com/live/default.aspx
My family has been happy with Eagan Valley Dental for over 20 years.
http://www.eaganvalleydental.com/ We see Dr. Mittelsteadt. The pediatricians at Park Nicollet Clinic are good.
My daughter attended daycare at the Eagan YMCA Childcare from 3 months until Kindergarten. We were happy with them and because they are attached to the YMCA she had swimming during daycare from 6 months on. The Y also has hourly daycare free for it's members.
I think you'd be happy with Eagan or the surrounding area.