The best weapon you have against this annual weed is crabgrass preemergence herbicide (also called crabgrass preventer). You apply this product in the spring before the crabgrass seed sprouts. This granular herbicide works by creating a chemical barrier at the surface of the soil. As the seeds begin germination, they take in the herbicide and die.
What is it that you’re hoping to accomplish in landscaping your property line? Once you answer that over-arching question, many of the details will fall into place (with a little aid from the ideas I present here). As you’ll see from reading the information below, deciding on how to landscape a boundary largely comes down to sifting through your various options.