How should I rid my neighbor's vacant yard of rats?

The woman in the house next door died a couple weeks ago. Urban area, self-secluded older cat lady type who was a hoarder. Use your imagination. So I guess since the house is vacant and filled with trash, I’m left 12 feet from an infestation of rats. I should probably ask around and see if the house is in fact filed with trash and follow up with the city. In the mean time, I have a questions about dealing with these rats myself.

There’s a 7 foot brick wall separating my apartment / patio and her yard. I’ve already dealt with one rat today that got trapped inside my recycling bin. I can hear more rodents squeaking on the other side of the wall. How can I attempt to scatter or kill these rodents myself?

Is there something I can bomb back there to get them to scatter away or would that likely just run them into my place? Should I go out and buy a couple dozen of those compressed green rat-poison blocks and toss them back there? Any reason why I should stay clear of doing anything for legal reasons?