Chlorophytum comosum is one of the few houseplants that hands you fully formed baby plants without being asked. Once a spider plant matures — usually after it's slightly rootbound — it sends out long stems tipped with small plantlets, sometimes called spiderettes or pups, each one a genetic clone of the parent.
Each plantlet already has tiny root nubs at its base before it ever touches soil or water. That makes propagation close to foolproof: snip a plantlet off the stem (or leave it attached while it roots, if the stem reaches), and either set it in water until roots lengthen, or press it directly into moist potting mix. Both work; water lets you watch the process, soil skips a transplant step later.
The parent plant isn't harmed by producing pups and doesn't need to be cut back to force it — flowering and plantlet production tend to happen on their own once the plant is mature and mildly stressed by tight roots, which is part of why spider plants are often left slightly underpotted on purpose.
Light and water needs for a new pup are the same as for the adult plant: bright indirect light, and water when the top inch of soil is dry. There's no special juvenile care required.