They have mandated emotional support animals and have questioned landlords denying felons.

If not corrected in two weeks, follow through with removing the animal or termination.2.

(Wanting to add more animals!)

My insurance company says they exclude coverage for exotic animals and any dogs with a bite history.

What liability falls on me, the landlord, if there are animals living in my units? 

These can bring significant revenue.lease of any equine / animal pens?

I would not rent to them because next they’ll be having sex with animals and and before you know it ,there will be a whole house full of dogs.

Not allowing pets is a legal selection criteria, unless the person is requesting a service or ESA animal under fair housing, in which case, if they and you qualify, you'd have to permit. 

That is a whole different animal, and I do not have experience with that.

If the pet is considered an ESA- emotional support animal you cannot charge a deposit or pet fee.