Inheriting section 8 tenants

[Steffen Beck]

I was wondering if I could get some advice regarding a situation I am in. I recently put my first investment property under contract and with it comes a section 8 lease. These tenants seem like quality people, and keep the house in relatively good shape. Unfortunately, there is only a mother and two children on the lease, and much more than that staying in the home currently. I believe there are at least 5 people living in the home, if not more like 6-7. In addition, there are two dogs which are not included in the lease or any security deposit to my knowledge. 

I understand that I really have no other option than to uphold the terms of the contract as they are written, especially since I am dealing with the govt. I know these people don't want to lose their voucher, so what do you think would be my best course of action? Do you think that if I went to the tenant with something in writing as well and a friendly conversation, the risk of her losing her voucher for herself and her two kids would be enough to comply? I have a few ideas about how I'd like to go about this, but I would really value other's opinions. Thank You!