Answer: I think the only solution is to reseed the bare patches in the vacant lot. You might also contact the city to explain the situation - they may be willing to come out and reseed the area so that it is green again. As for the weedy grasses at the edge of your driveway, the best way to deal with it is to dig it out, roots and all, then broadcast grass seed over the bare earth.
Best wishes with your landscape!
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