Buy an Agri- Fab spinner spreader and use pelletized lime, you can pull the spreader with your ATV. You dont have to kill the grass at that time and the lime will enhance the growth of it. If you are going to use ground burnt limestone then you need a drop spreader. Remember lime is applied at tons/ acre. start with about 12 bags up around the house, see how that does..... Spreader will cost about $125. Pelletized lime is about $2.65 a bag at Lowes....Also you could buy a small disc at Lowes to break up the soil for $148.