Housing and rental prices vary all over the scale based on whether you're in a smaller community many miles from a population base (and more job opportunities) or you're looking at living in a bigger town like Sioux Falls or Rapid City.
Since you will be seeking employment, the best odds for that is moving to Sioux Falls.
There is a big demand for rentals in Sioux Falls, which has been spurring a lot of apartment construction in town. The low
end for a decent 1 bedroom apartment would be $ 600/Mo. & up while 2 bedrooms will be around $ 800/Mo and up. There is cheaper rent around town and you might get lucky. There are also lots of 2 bedrooms around town for $ 1000/Mo - $ 1300/Mo. with garages.
Here's an old thread with information about weekly rates if you need temporary housing when you first get here. I'd add the Nites Inn to those mentioned in this thread. Also, the info. about the Deluxe Motel is very accurate. Avoid it like the plague. There was another stabbing there just last week.
Starting from scratch