Also being more strict about no-pets without payment. 

For fourplexes, the demographic seems to be people who are moving out of apts because they have very young children and want a small yard for a pet, but dont have the capital or credit to purchase.

You will help avoid getting questions such as "how big is that room, do you allow pets ..."

It appears after some research we may be better off allowing pets even though the thought makes me cringe. 

They have the pet contract that's where I'm confused who does the sueing lol a bit confusing but I'd like to do it right 

Here is pet addendum in the lease agreement that I received before closing:Here is a pet addendum that was just recently uploaded to my owner portal:Any advice on how to proceed?

Your local laws may or may not define the useful life of many things in your condo and force you to pro-rate any charges to the tenant.For example, if you have brand new carpeting when the tenant moves in, but it's ruined by pet stains and has to be replaced when they move out two years later, you will only be able to charge them 5/7ths of the actual cost if your laws dictate that the useful life of carpet is 7 years.

The lease states no pets allowed but it sounds like the owner allowed her two pit bulls.

But I have never seen one that requires a tenant to vacate the premises themselves, to clean up, or to remove their pets.

Pet Fee.