Besides appraisal and the inspection, you should also have a professional go through the house and seek out potential problems. Of course, you will have inspected the home, but you are not used to looking at some things that a professional will find. Even if they are not things the seller is expected to repair, at least you will have foreknowledge of any potential problems.
The seller will want this inspection performed quickly, so that you can approve the results and move forward with the purchase. Once you receive the inspection, you will want to allow yourself sufficient time to review and approve the report. If you do not approve the report, you may negotiate with the sellers on which repairs should be performed and who should pay for those repairs. Otherwise, you can cancel the purchase without penalty, provided you have included timetables in your offer.