Turning up the dirt

I should have turned up my dirt and added lots of organics (leaves, grass clippings, etc) last fall, but I didn't. Instead, I have to do it now. Saturday I turned over all my dirt, making sure to loosen any clumps. Last year I had problems with the dirt compacting too much -- not enough organic material in there. I want to use my own compost to revive it, but I'm not sure I have enough so I think I'll add my compost to one garden and sphagnum moss from the garden store to the other. Then I'll see which works better.