If you decide you want to accept pets, determine the perimeters for such, independent of this tenants request, and implement a global policy change.

With that being said don't be afraid of going after homes with perimeter foundation issues. 

That said, persistent moisture in crawlspaces can affect foundation stability in some instances, in that case its usually better to address the moisture intrusion at the root cause ie, routing water around the perimeter of the home via french drain system. 

Personally, I believe that all of the land inside the perimeter will steadily increase over time due to the population growth and all of the active developments in the city.

Check out Perimeter Property Services.

Then I will come by and put some stuff around the perimeter. 

You need to calculate all wall perimeters times height of the work that is just repainting you could not deduct doors and windows too, add prep work, probably just a % of all walls, add drywall texture also, another issue is your cabinets, they're not part of your $2/sf price but are priced based on complexity of what you want to do with it, I like it sanded and sprayed, so it costs more.

Take a look at Northside but don't go too far east, also look near Churchill perimeter where rehabbers are working.

I sprayed the perimeter of my house and anywhere on the inside of the house where I see ants.  

I recently bought a property that within 3 months requires:A new roof: 16K-25K (not entirely a surprise I knew it's near the end of life span but didn't expect immediately leaks)Subterrainean termite termicide perimeter treatment: 1K (a surprise)Drywood termite tenting: 1.2K (not a surprise but didn't know the extent of damages)Power line weatherhead cracked: 1.3K (a big surprise)Interior doors and closet shelving from sub termite damages: $500 (a surprise)New water heater: $650 (not a surprise)So yes, you need cash reserves.