In order to hatch eggs (obtained from the Embryo Calcification Machine) safely and surely, you will need an Incubator.
The Incubator has 5 input slots for eggs, each with a temperature slider. These sliders will determine the gender of the creature when it hatches. Set the slider towards red for a male, or towards yellow for a female. Be patient, as the hatching process may take a few minutes.
There’s also an input for substrate, as makeshift nesting material. Peat Moss is ideal.
Once the hatching process is finished, you will get a Hatched Egg.