Hello, are you interested in renting my apartment?
Yes I am interested. On what floor is the apartment? 
It is a first floor apartment.
Ok, there is definitely no small pets allowed
No pets, only service animals.  
Oh good! My dog is a service animal. I will give pay you $1435. per month. It's more like my budget. Will you accept my offer?
I was looking for at least $1595.  I will have to do a credit check and eviction history for a 1-yr lease.  If your credit is good and no evictions.  I may be able to rent it to you for $1500
I have excellent credit and no evictions. So there isn't any issues with those requirements. Since I can bring my service dog with me I will pay the $1500. 
Great!  I'll see you soon to sign the 1-yr lease.
That sounds good! Just let me know when everything is set so I can sign.