So the new plan is to rake, then lime, then seed. Then every year we'll add topsoil to the low spots and reseed them until eventually it's reasonably level. Everything I read tell me that this is the proper way to level it out, but it's not the instant gratification that I want. However, it should get me a green space for my daughter to play on.
It's not much of a plan, but it's mine. Even better - this year it's cheap!
Tomorrow I'm going to try to get a bit more of the gardens cleaned out.