How Should I Feed, or monitor my baby birds when they hatch?

I’m very worried on how I should go about caring for my baby parakeets when they hatch, the hen is currently nesting her eggs, however in the past she’s laid a batch (1 hatched and died after a single day). I want to avoid the same thing from happening again, and I don’t have the heart to break the eggs like others who don’t want to go through the trouble do. The problem starts when the babies are first born. (about the first week or so) the mother doesn’t really know what to do when the babies hatch, and she just continues to sit there paying no attention to the baby at all. While I’m afraid to touch it since when they first hatch they seem so frail and soft, and I’m not sure if I should. I’ve bought a Nesting box for my hen, some bedding, and baby formula with a Syringe to begin the feeding, such as that I’ve seen on youtube. However I don’t think it’s possible to start feeding the baby birds 1-3 days out of the egg since their mouths are so small. What do birds eat when their 1-6 days old? When should I start hand feeding the birds? Should I take the hen out of the nest after the eggs hatch? How long should it be until I stop hand feeding the babies and introduce them to seeds? If there’s anybody out there who is an expert on baby Parakeets i plea to you, PLEASE help me!!