I am a fairly big fan of City-Data.com if you have not already found it.
From a Minnesotan perspective.....the landscape will seem very stark and you will long for greenness....about the same as you likely feel in late March after months of MN white - but all year 'round. In town there will be lawns and trees that have been planted but the "native" flora is suited to the very arid, almost desert like, climate. Due to the harsh climate and the lack of vegetation there is very little "soil" (as you would think of it). Consider all this very carefully because it really is very different from Minnesota. A lot depends on how adaptable you are and what you can get used to as "normal".
On the flip side there is a lot of natural beauty in the area and Flaming Gorge Res. not too far away. At higher elevations around there there are trees (mostly short pine). It will be similar in temperature variation through the seasons but much windier and a lot more sunshine with lower humidity.
If you are in the Twin Cities area you will likely find housing to be a lot less expensive and Wyoming has no state income tax. Energy "exit" taxes on coal and oil help subsidize a lot of government expenses, such as for water projects.
As for people...from our many trips to and through Wyoming we've found them to by large be very friendly and helpful. It's a tough environment and people learned early on to work together to survive. At the same time they are very independant and self-reliant and value their "space". Probably a bit more conservative than MN (especially right in Mpls-St. Paul and up on the Iron Range).