I have done several inspections for myself and for a ton of friends. I downloaded a form many years ago and added my own stuff to it as well.
You can do a very good inspection yourself if you are willing to spend 3 to 6 hours actually doing it.
A few tools that not everyone has but are well worth renting or buying.
Bore scope for checking where your head won't fit, around plumbing penetrations, in inspection covers like the tub/shower, under stoves and dish washers, checking burner tubes in the furnace.
FLIR attachment for your smart phone or a FLIR camera, for checking for hot spots in appliances and wiring along with checking insulation in walls and ceilings.
Take pictures of everything making sure to catch model and serial numbers so you can do research on appliances etc.
Like some one else said turn on the dish washer right away to the heavy cycle and make sure it runs through the whole thing. I also do the same with the stove/oven set it for 500* and use a temp gun to check the temp.
Measure the depth of insulation in the attic in several spots, you need to get up there and really check for bugs and rodents anyway.
If there is a fridge plug it in and check that with the temp gun as well.
A cheap outlet checker is a great tool, check all outlets, I use a little sticker after they pass green for good and red for bad, switches too.
The heat gun is good for checking for hot breakers as well.
You need to check the roof in several spots as well, so bring a good ladder, if there is a masonry chimney you will need to get up on the roof to check that too.
I bring several spare light bulbs to make sure all fixtures work, a book of matches will work to check exhaust flow for bath and kitchen fans, light a few matches and then blow them out and make sure that the smoke is being drawn in.
A long stick is nice to have for testing smoke CO2 alarms.
Of course your 2 best tools are your eyes and sense of smell, use a strong flash light to see into corners and cupboards and under things.
Get down and sniff test through out the house.
When I inspected our current house it had been winterized so I brought along a compressor and a test gage set up to connect to the outside spigot, and the drain on the boiler, sure enough I discovered several leaks where pipes had not been completely cleared of water and had burst, the seller paid for the plumber of my choice to fix them and retest. At least they were all in the basement so no plaster or drywall had to be redone.
If I couldn't inspect myself I would gladly pay to have it done, but you can do it yourself, just take your time and do it right.