When applying for a property, having your paperwork in order is critical. Most leasing companies will not even begin processing an application until ALL of the required documents have been received. Do not be afraid to call and ask for clarification on any criteria you are unsure about.
Some owners have strict regulations about pets- from species to weight, quantity and breed (Our company policy strictly forbids "aggressive breeds"). Expect to pay an additional pet deposit (may be non-refundable) and maybe pet rent. It is important to be up front and honest about your pets.