When inheriting tenants send the tenants a letter that say's "we are taking care of this, this is how you will be paying rent and submitting maintenance requests, ect." It is important to have them sign leases with the same rent and original lease date, but it needs to have your name or the property manager on it to keep everything clean. It's important to just lay everything out as to the process and explain how it will go, provide some reassurance off the bat.