First you want to aerate then rake all the dead stuff away, after you put down a weed killer only above 50 degrees. Then spread some bone meal instead of fertilizer and I always liked Merion Kentucky Blue but that depends on how the lawn will be treated, a lot of foot traffic or not, then top dress with either cow manure or compost. Fertilize in the spring with Scotts. See what they have for fall crab grass and get that down before you aerate and then again in the spring. You have pre emergence, spring versus post emergence, fall. Then sit back and admire after mowing at 2 1/2 to 3" height, bag it then put in compost pile or vegey garden. The red wigglers will enjoy it.