HOw To GRASS SEEDING SUGGESTIONS

Anyone have suggestions for grass seeding the newly cleared area?

It's big and freshly turned, and we're getting regular rain.  Since we've never seeded a lawn from scratch, just wondering the process.  

It doesn't have to match, heck, I wouldn't even know what to match it too, farm grass is just a random assortment of green things growing close to each other, ha.  We just need more green stuff and less brown stuff!

2nd Family's "R" leveled it for us with the grader tractor attachment and so I think it's ready.  I've seen that spray on grass seed but pretty sure that doesn't work 'as seen on tv', LOL.  Scott's also makes one that is coated with nutrients and a method to keep it moist by holding water until it germinates.  Not sure if just throwing some out by hand would work or if I need a spreader or what would work best.  For now, we'd just like some green.

UPDATE:  We had a random thought tonight while reading your comments and looking at the pictures...what about anything edible?  Perhaps some sort of wheat type crop (not wheat of course but some other edible/usable grass?).  We could put regular green grass in the foreground portion of that middle picture but what about that big open space, anything we could plant that we could eat?

Thoughts?