This will give the lawn a professional appearance. For cool weather just add water and pray. Ten days and you should see green grass starting to grow. Seeding is easy to accomplish with a mechanical spreader, either spin spreader while walking or drop spreader. Seeding rate depends on the species and is easy to figure.
Most people plant too heavily, one seed per sq.
Consult your local supplier of fertilizer and then use half what he recommends. Mow often, clippings become fertilizer so you should mow once a week to prune the grass and mulch the clippings before it gets too long to create an unsightly pile of clippings which can smother the grass. Also if you cut the grass short repeatedly and infrequently, the plants will not thrive and there will be many open spaces because individual plants do not have enough reserves to grow dense tillers. This is called Scalping and is easily prevented. One seed can produce a plant that is 1 foot in diameter if properly mowed and fed, that's how even non-creeping grasses create a beautiful dense turf.