The response was always like, "We don't really fix things until they're broken and everything is fine." 

Two of the books that have helped me when I was in your position are Start with Strategy - https://store.biggerpockets.com/products/start-with-strategyThe Book on Estimating Rehab costs - https://store.biggerpockets.com/products/the-book-on-estimat...Since you like the podcasts - these are available as audio books and broken into audio chapters so you can listen just like podcasts!

Tenant Screening: Screening tenants is critical to ensure you’re getting responsible renters.

Keep in mind the foundation is not the only issue, when there is foundation issues there is usually other internal issues that go along with it, (wall separation, Possible broken pipes, floors etc) so give yourself plenty of wiggle room for repairs.

So, the first question they usually ask a PMC is about fees - instead of asking about services and HOW those services are executed.EXAMPLE: PMC states they will handle tenant screening – what does that specifically mean?

I've had to keep parts of deposits a time or 2 for broken/ruined items. 

Then roof contractor removed broken skylight in the roof.

I am curious if there are any pre made criteria lists out there or if there are any “must haves” for tenant screening. 

If you choose to accept it, make them apply and pass your screening, add them to the lease, and charge extra rent to make it worth your trouble.

Tenant screening is, in my opinion, the most important step in maintaining both your property and your sanity.