How do i break up, spread, and level clay fill dirt (for new lawn) by hand?

I got 30 yards of free fill dirt that turned out to have a alot of clay in it. My brother used a tractor and surprised me by dumping the dirt in piles close to where i needed it, but its all unlevel, thick, matted down. There are mogul piles everywhere. I dont have money for professionals, or to rent another tractor. I need to level the clumpy piles and properly slope it away from the house for proper drainage to the street. Its a mess. It poured rain on it after he spread the piles. I dont know what to do. My intention was to raise the ground 5-6 inches for about an 2-3 thousand square foot area, and the slope it, then put this falls leaves on it, (about 2 feet deep, then after winter mats the leaves down, (when i have more money) to put about 3-4 inches of premium peat mix top soil, and then plant gr. Should i spread peat moss all over it, and add lots of lime? But how do i spread it? When i use a garden rake i can barley budge it. It wasnt liek that before it was dumped in piles and rained... PLEASE OFFER ANY ADVICE.