Should I screen inherited tenants?

[Dominic Franco]

Good evening BP family!

I recently just closed on my first deal, a duplex with tenants occupied on both sides. I am preparing a new lease agreement as one is up and at the end of the month and the other is on M2M. Looking at the rent roll they have never had any issues paying on time and on the surface seem like responsible tenants (one is a bit cleaner than the other but no major issues). I plan on increasing the rent with the new lease agreement so I was thinking I would first see if they plan on staying at the new increased rental rate. My question is, should I screen these inherited tenants to make sure they are even the kind of tenants I want staying another year? Or if they are willing to stay under the new lease terms just forego a screening? 

-Dom