If the previous owners are taking their furniture and a large area rug, that removes a large part of the problem. Any other rugs left that you are going to keep should be shampooed/cleaned by a professional service. Hard servicessurfaces like walls and hardwood or tile floors don't hold the oils that affect some and are much easier to deal with.
You also want to have a thorough vacuuming done to remove any pet hairs. We have always had a couple of dogs (no allergies), so I can attest to the fact that their hair can accumulate in the most out of the way places.