Newly acquired property, do i charge a new pet deposit?

[Ivan Burley]

I recently closed on a duplex and one of the current tenants has a dog.  They paid the previous owner a non refundable pet fee.  I am wondering if I should charge another pet fee for myself as well!  

Also they have previously been on a week to week lease agreement but they have been paying bi-weekly with permission from the previous owner.  They'll be signing into my 12 month lease term this week and I want to make sure that all of my bases are covered.