Is it worth also telling them I'll be conducting an inspection on Sunday (last day to move) in order to confirm they're gone?

All you need is conducting a business with a profit intent - which you do have.Two finer points that you did not specifically ask about.

Use it to provide consulting services, speak on your area of expertise, conduct e-commerce, sell finger paintings, or whatever you want.Create affiliate content - It's hard to get scale here, so you either need a targeted audience that will buy larger dollar items or a big audience on some platform.

I would definitely communicate this to any existing tenants that it's their responsibility to keep these areas clean and that you will now be conducting quarterly inspections to make sure that it is kept clean.

Get out now and pay the cost of not conducting due diligences. 

Conduct a quick walk-through of the rental to assess whether there's any cleaning/repairs that will need to be documented.

If there is an issue; your management company is most likely the one that will be exposed since that really is the one you are conducting business with.If you are just starting out in rentals; I would setup the holding company first.

Before you select a mentor or a coach, teacher, instructor...look to how he conducts business, is he ethical, does he follow the rules of the road?

A salesperson is an extension of the broker so a salesperson could conduct management activities in the name of the brokerage but could not do it exclusive of the Broker.  

At any rate, if this is how they conduct business, it is still worth it to take advantage of the good activity you get to begin with to jump start the business.