You can screen the pets at the same time as screening your tenants to check for things like vaccinations, behaviour, house training, etc. 

Charge a pet deposit, obtain vaccination records (up-to-date) and make sure your lease is clear about damage caused by pets. 

Now, if you want a pet, it's 1/2 month extra in security deposit, AKC Canine Good Citizen certificate required, vet records showing age (no puppies), breed (no restricted or mix of restricted breed) and current vaccinations, proof of legal city dog license, and renter's liability policy, minimum $100K with me listed as additional insured.  

When I was a renter (in California and NYC and Oregon), I put together a "pet resume" with a photo, vaccination records, vet contact info, and references from previous landlords.  

Examples include "no outdoor tethering unless..." and "all animals must be spayed or neutered" and "all animals must be up to date on any required vaccinations.

Your title is both an ox and a moron, as the lines in that funny Stallone gangster movie go lolYou title is gibberish and your first lesson is to figure out why that is, Seth.

After doing some research here and online i provided her with a list of documents/requirements she is to provide prior to day of signing. vet/clinic, license, vaccine and proof of spayed/neutered.

Adhere to local ordinances, including leash, vaccination, and tag/licensing, requirements. 3.

I'll also require a non-refundable pet deposit, all dogs be spayed/neutered, up to date on vaccines at time of lease execution, and renter's insurance that includes pet liability coverage.

Breed restrictions apply and we must see proof of vaccinations.