I am a first-time homeowner. My new backyard is completely overgrown with different kinds of weeds interspersed with bare dirt. The weeds seem mostly to be ground cover (clover, some vine, mostly these small plants that look like little spades). I would love to rip out all the growth and plant a lawn from seed but I have no idea how to go about removing the extensive weeds before starting the lawn. Any suggestions?
To complicate matters, there is a large tree in the middle of the yard which shades most of it, as well as several trees around the perimeter which also provide shade. I've read that unless there is at least some direct sunlight, grass will not grow, even the "shade-preferring" kind. Should I at least try to seed the whole yard first or immediately resort to seeding only the sunny parts and planting some sort of shade garden everywhere else? If the latter, should I still try to kill the weeds where I'm not planting grass or just cover them with mulch and kill them that way?
Thanks for helping out a complete novice!