while I like clover and would not kill it in my yard I under stand others don't care for it.
I would start by getting a soil sample and taking it to the local USDA or county entention office to see what the soil really need instead of willy nilly spreading fertlizerer the lawn doesn't need.
I would get a aerater and use it before spreading fertilizer and grass seed.
Learn the type of grass most proment in the lawn and learn to properly mow it. You should never mow more that the top 1/3 off the grass. 3 to 4 inches is the best height setting for the mower.
"Cutting too aggressively, or scalping the lawn, forces grass plants to re-grow their blades, not deepen roots, and also makes your lawn more prone to weeds."
Mow the grass only when it is dry.
" Wet clippings can clog your mower, too, dumping clumps of grass on your lawn which can smother the grass and result in brown spots".