L.H.
My husband and I lived in Baton Rouge 20 years ago. We work there on a quarterly basis now so we are still in BR/New Orleans area several times a year. Covington LA is a great place. I'm not sure where your husband will be working, but just like any large metropolitan area, there are good and bad areas some very close together. As far as schools go, when I lived there most that I knew had their kids in private catholic schools. I can ask some friends we've made in Covington what their recommendations would be.
There are lots of beautiful parks there. The weather there is mild even in the winter. It rains a lot there, but you can grow anything. We had the best time growing tropical plants on the balcony of our townhouse. We also grew a great garden in containers.
You might go with the idea of renting until you can check out the different possibilities. Sorry I'm not very much help. I love southern Louisiana. The people there are warm and friendly. Lots of great cajun culture. It will be a wonderful adventure!
Blessings!
L.