The one biggest factor I have found in decreasing vacancy is in unit laundry and pet policy. 

Think of all the things that could go wrong and see if the lease addresses them: unauthorized pets or tenants, early termination, security deposit, lease violations, late rent, eviction, lawn maintenance, parking, etc.5.

Can we denied an application if they have companion animal and we have no pet policy.

Can we charge tenants Pet security deposit and monthly pet fees if it is Emotional Support Animal (Companion Animal).I did some research I saw that Fair Housing Act does not apply to people that renting out a SFH and own total of 3 or fewer rental property.

They tend to not like new leases or rules that you may want to implement or old rules that you want to start enforcing (smoking, pets, non-lease tenants, etc.).2.

Specially people with pets (half the population). 

Third one had 3 pets which my client didn't want to consider.

PETS: No animal, fowl, fish, reptile, and/or pet of any kind shall be kept on or about the premises, for any amount of time, without obtaining the prior written consent and meeting the requirements of the OWNER.

You're allowing pets with a very reasonable deposit. 

My experience with this is that the policy is not affected by pets that the tenants have.