The types of inspections available are: structural, well testing, septic inspection, WDO(termite inspection), pool, HVAC, etc.
We recommend arranging for a general structural inspection that will pretty much cover the home itself. roof, windows, electrical, plumbing, HVAC, appliances, asbestos, etc. It may be helpful to mention any concerns you have to the inspector, prior to commiting to any service.
Since there can be a very wide variety of areas that could be covered, it would be important to discuss the extent of the inspection with the service provider before hand. We recommend an inspector that does a structural inspection and a pest inspection for one fee.