@kenyanfeline Time to rent a roto-tiller. IDK if anything has already been installed at your place, but be wary of stuff like cable TV lines, they're sometimes buried just a couple inches deep.
You'll also definitely want to put down a pre-emergent (often marked on the bag as 'weed preventer' or something). The seeds of all those weeds you just cut down are still there in the soil, so you use a pre-emergent to stop them from sprouting. Be mindful of what the bag says about seeding! Obviously you don't want your pre-emergent to stop your grass seeds from sprouting. I like
Scotts Triple Action Built for Seeding, it's a starter fertilizer plus a pre-emergent that's safe for seeding cool season lawns.
The kind of grass to put down depends on where you live. If you're in Nebraska, you'll want a cool season grass like tall fescue or Kentucky bluegrass. KBG spreads naturally on its own, so if an area is damaged, it will often spread to heal itself. The drawback is that it needs more water and fertilizer than tall fescue. Tall fescue is also more heat and drought-tolerant than KBG. It doesn't spread naturally, however, so you'll want to overseed it occasionally to keep it thick. And remember that one of the best defenses against weeds is just having a thick lawn with no space for weeds to take root.
You need to keep the seeds and sprouts wet all the time when they're first coming up so that they don't dry out. But as they start to get established, they need to start growing a deep root system, which they won't do if they can get all the water they need right at the surface. So when you're watering your new lawn, start out with frequent light waterings (two or even three times a day) to keep the surface wet, and then transition to less frequent but heavier waterings that soak into the ground but give the surface time to dry out a bit. Best time to water is around dawn, but for those initial stages you might set up a timer to do one watering at like 4am and another at 10am.
Also depending on where you're at, you might need to get started on this stuff a little before you move in. Cool season grasses are best seeded around late August to mid September.