Clarity shows commitment and improves your chances of obtaining funding, whichever property you choose.

This policy will provide additional coverage above what your existing policy covers.

I'll add this, I think if you are good at it, there exist modes and methods which can give you much better returns. 

Demolish The Home and Build New: You can demolish the existing house and build new.

The existing mobile also had utilities hooked up with a $17k impact fee credit that I didn't have to pay to the county.

Hypothetically, you'd need >2K rent on a 250K home to get more than 5% CoC (ballpark numbers with a few assumptions, mgmt fees, putting 30% down, etc), and it seems very unlikely this would exist where I'm looking..

In cities with static or declining populations, the existing housing supply typically meets housing demand.

How are you comparing the cost of a new build to one with an existing duplex?

This ensures that you protect existing tenants from direct competition and support their growth; this will also foster their trust in the ethics in which the property is managed. 

I am a fan of utilizing equity in existing real estate owned to build the rental portfolio though at the beginning, rather than just relying on money saved alone.