Have you done a home inspection?

Everything went really well, but I would say the one lessons we learned that is extremely valuable to have you're own 3rd party inspector go inspect the home and tell you everything the buyer's inspector will in order to save time during the closing process.

I can always have an out with my inspection if somethings not right.

Hopefully you did a home inspection and checked the HVAC and/or plumbing.

They want to inspect the unit to ensure I removed EVERYTHING.

There have been investors who have told me horror stories about having to open the walls back up in order for them to inspect.

Overall I had no issues with my tenant, and when my brother did an inspection on the property he was happy to see it in good condition. 

Tenants leading him right down there is not ideal but the building department/inspector does have a right o inspect any homes where they have justifiable cause or safety or heath concerns. 

And what kind of contingencies should I put in there (passing inspection, appraising at a certain level, etc.)?

Make sure to find someone that has a lot of knowledge on the housing/rental market, experience with the building codes, inspection/permit process and programs tenants will sometimes use.