I believe that the problem is not that the OP wants to hatch killdeers, is that what happens after they hatch. I bought a engine hoist about a week ago. I went and picked it up, and low and behold there was a nest of baby blue jays in the end of it. By looking at the amount of down, they were 3 days old. I considered taking it back and letting it sit for a few weeks, but I needed it for another project asap. Do you know how hard it is to find a wildlife rehab for baby birds? Near to impossable. Baby birds that are fledglings are one thing, but a newly hatched baby bird requirements are almost impossable for a human. Hatchlings require feeding every 20-30 minutes. For the first 7-8 days the hatchlings cannot regulate their temps. They will require mostiure, food, and warmth from the mother bird. It will take 17-19 days before they can be released into the wild.
Feeding.. Well that's a good topic. There are many rules of thought with one being feeding mushed up bugs. Another is wetting dry dog food and making kinda a paste. Using a tooth pick, or something along the same size, dropping a pea size portion into their mouth.
I made it to day 3 with my new hatchlings. Sadly with 3 people trying to feed them, up till 1:00 am nightly, and the next up at 5:00 am, We just didn't have the talent a mother bird has. Like I said, fledglings are a different story. They have either fallen out of the nest, or was evicted by their parents. These can be fed normal food, can drink water, and can be semi self caring however remember fledglings are being watched by their mama. It is part of their training on how to be wild birds, how to avoid preditors, how to find food. A fledgling is generally 10-16 days old. They generally cannot fly at this point and are often mistaken for birds with broken wings.
Hatchlings are a totally different story.