Our situation was slightly different. We were building a house and although the had a home inspector, we wanted to have our own. So I called my insurance company and asked them to recommend one. I hired a home inspector that Allstate recommended. For $165, he covered two visits. I put into our contract that I wanted an inspection visit on the framing, electrical, plumbing, etc before the walls went up and for the final walk-through. Our inspector caught a few things (nothing major) that helped a lot. He got the building supervisor to note these things and have them taken care of. Well worth much more than $165.
Assuming that you will insure the new property with the same insurance company, call them. It is in their best interests to make sure that you are aware of any defects, issues, or repairs that need to be done to the property so that they don't have to pay out any claims and can just collect your premium.
