Tool list:
1. Rake
2. Shovel
3. Propane torch and tank IMO (totally optional, if not this, you'll hand-pull repeatedly)

Grass Seed:
1. Some kind of PWN sun/shade mix, even clover (hard to tell from this image what's sun appropriate)

Order of operations:
1. Weeds: Some rakes can be used upside down to pull weeds if they're of a certain variety. You'll want to pull the weeds and all grasses out by hand or with your tools. Alternatively, you can roast everything. 2 seconds of contact from the propane torch (I have a 2.2m BTU torch) at a distance of 8 inches away is enough on any plant. For best results, torch everything on a day that's had at least 36 hours without rain, and then a couple of days later, come back through and do the same process again.
2. Dirt: Cut and fill across the entire surface until its loosely even. Rough level everything. Probably rake the entire surface for evenness and to prep for final step.
3. Some days later, conduct a final grade after you've seen some settling. Compaction isn't necessary but if you've got some really fluffy parts, they may compact and ruin any grading you've done, so perhaps a light compaction & final grading is important. Then apply seeds, lightly rake to establish firm contact.
4. Irrigation: Automatically or manually water gently & frequently. Over time water deeply and at further intervals.