Therefore, I have been trying to study up on techniques used to make good offers and over come objections. 

Unfortunately many landlords take the first group they find in these situations and come from the ideology that all college students are slobs so no sense offering anything nice. 

Looking to invest with Praxis, but wanting to compare their current offering with a couple more. 

It offers unique advantages like equity building, tax benefits (e.g., deductions and depreciation), and an inflation hedge, as rental income and property values often rise with inflation.

You can also do this on a refinance.Else, you can find private money, take out a HELOC if you have a lot of equity, go hard money and then refinance after, or see if your preferred builder offers financing.

These properties also offer you the opportunity to perform cost segregations which help with those current taxes. 

I've seen some people post on here about offering modern/classic game consoles. 

If everyone uses your tool, and everyone gets the same answer and places the same offer, then no one has any competitive advantage.

Two days later our offer to purchase the property + adjacent empty lot was accepted.

If the place is in decent shape I would offer to credit it toward the next month's rent and write addendum including no future pets.