If it's really being damaged by the property next door, they (likely) have a legal obligation to prevent damage to  your property, much the same way you can't change the grading and cause flooding on your neighbor's property. 

Commercial grade is best.  

The house is a 1971 block, slab on grade with truss hip roof with an L shaped footprint. 

I don't always take her suggestions but it gives me a good idea on what to do.Kitchen Gut (medium grade SS appliances & Granite) - about $40/sq ftHVAC - Duct work - $2.50/sq ftHVAC - Compressor - $1,750 + ($1.00/sq ft)HVAC - Heating Unit - $2,000Those are quick estimate numbers that I have found to be good for North Texas.

I thought I'd add the following update updateThe laws in Houston, TX have recently changed and now require grade beam tie-in of all footings, As a result, it's now much more expensive to set the house on a lot.

@Lindsey Thomspon wood rot (potential siding and window leaks), mold in attic could be a ventilation problem with the bathroom, ceiling damage from leaking bathroom above (in walls too most likely), water in the crawl space (poor lawn grading which is probably the reason for most of the moisture), just to name a few.

For more info on the particular neighborhoods in the Birmingham, Alabama metro market take a look at The Ultimate Guide to Grading Birmingham, Alabama Neighborhoods.

@Giridhara Gowdra chandranna everyone has their own grading system.

This created concerns on construction costs due to grading and soil testing.

As such I created The Ultimate Guide to Grading Cleveland Neighborhoods so out of state investors can get a firm grasp on the Cleveland market.Knowing the pros and cons of each type of neighborhood is very important.