If your was built before 1978 and you have children under the age of seven, you will want to have an inspection for lead-based paint. It's important to know that lead flakes from paint can be present in both the home and in the soil surrounding the house. The problem can be fixed temporarily by repairing damaged paint surfaces or planting grass over effected soil. Hiring a lead abatement contractor to remove paint chips and seal damaged areas will fix the problem permanently.
This will likely be the first opportunity to examine the house without furniture, giving you a clear view of everything. Check the walls and ceilings carefully, as well as any work the seller agreed to do in response to the inspection. Any problems discovered previously that you find uncorrected should be brought up prior to closing. It is the seller’s responsibility to fix them.