I use http://www.automatebnb.com/ It is free for up to two properties, then cheap -- like $2 per month I think -- for over 2 properties.When I get a booking via airbnb or VRBO it automatically emails my cleaner. 

Definitely wouldn't avoid what people may think are "rough" areas as a lot of people, in my opinion, just hear the words "North Omaha" or mention those zip codes and they automatically think its a bad area.

In some cities, you will automatically lose any grandfathered status if the property is not continuously operated. 

All of my direct deposits, Venmo, ACH transfers etc. are automatically swept towards my line/remaining balance.

Do you use any management apps that also send codes automatically to guest before check in?

From there I would proceed to get a judgement against all three tenants on the lease (if the eviction doesn't automatically create one) and I would pursue collection of it vigorously even if there's no real hope of collecting.

They say that if I don't respond, they will automatically pay me and proceed with the necessary construction. 

I’d rather take a property down the street where I can tweak the revenue and expense levers than an out of state property where I need to trust that the property manager is putting in good tenants and I am not subject to getting oversized “automatically authorized” charges like replacing a $100 toilet for $500.

Based on what you've told us, I would deny them automatically.

I don’t know whether a background/credit check is automatically rolled into the ‘application fee’ or not.