Usually, I'd assume a bird to be on the safer side, however, my cousin used to own one and 1. parrots (regardless of the breed) seem to love wood moldings, and 2. they can be loud. 

Here are some additional things to check for from an Insurance perspective:- Knob & Tube or Aluminum wiring- Asbestos tile, siding or wrapping on pipes- Lead paint (if the building was built prior to 1980 you may need a Lead Safe certification)- flat roof- tenants with pets (find out breed of dogs)- cracked or damaged driveways or walkways- Stairs with out handrails- trees over hanging the property- in ground tanks (active or inactive)- two means of egress from all units- if smoke, CO, fire detectors are hardwired or batterySome of these will cause insurance companies not to write the coverage while others may turn up as recommendations that you will have to fix.   

I charge a one time non refundable pet fee $350...However, I don't accept all breeds...

SUCCESS BREEDS SUCCESS

It should be against the law for people like that to breed.

One thing I have found is that 10+ unit apartments appear to be a rare breed.

Restrict by size, restrict certain breeds, how many animals are allowed, etc.

Also look for best of breed properties and impact to GRM. 

I think a weight limit or breed restrictions are comical.

Recently, the landlord sent me a list of breeds of dogs that are not allowed by their insurance company.