Summary: Allow you property manager to handle the headaches so that you can rest at night, enjoy your hobbies, and not receive calls that your property manager should be answering.

Confirm with your state's property code or a qualified real estate attorney how this is handled where you are.

Increasing their rent after 3 months of construction annoyance, yeah, I think you handled that poorly. 

Issues such as who handles the yardwork (if a house) and what is the policy on pets and smoking should also be addressed in the lease.On the other hand this type of rental situation can be lucrative. 

Trying to get a handle on how much that might be.

I’m torn on what to do or how to handle the problem?

With the way things are right now, is it worth hiring PM to handle getting the current tenants out?

@Victoria Davis, a title company could handle the transaction but in NYS, we don't offer legal advice due to the insurance nature of our company. 

How should this be handled?

Tell them what you are doing and how they find and handle cleaners, landscapers, etc.