You can always outsource this work, but if its just a duplex I'm sure you can handle the tenant screening.

Second, buy an inexpensive push mower and do the lawn maintenance in the property you are living in and outsource the lawn maintenance for the properties that are rentals you are no longer living in.

We purchase houses off the MLS or at auction using a rehab loan from a private lender, get the work done (mostly outsourced, though my husband likes to do some of it himself), pay our contractors with rehab draws from the loan, then list it using on online MLS listing broker and use our attorney for the closing.

I would have the goal of outsourcing it once you've got some traction but things like list fees and shipping can destroy that budget. 

Day one of the job he outsourced demo and boom no more kitchens or bathrooms.

For fulfillment you can do it yourself to save money if you are broke, but ultimately if you want better response rates and focusing your time on value-add, then you will want to outsource fulfillment to a shop that has economies of scale and can offer you great rates.

has anyone outsourced this position to any extent?  

This allows us to be competitive with pricing and have outsourced 90% of the operation for less then 10% which makes it cash flow at a much higher rate with less overheads and wear on the house.

I prefer to outsource as much as possible so that I can focus on operations and optimize our return-on-investment. 

Also consider outsourcing this function and focusing on your strengths.