Certified GKH Gardening Expert
Tulips are picky about their growing conditions and often are best treated as annuals. They don't reliably return unless a constant, cold period is met.
Those baby bulbs are the tulips way of multiplying, and if your tulips regularly return, you are one of the lucky ones. You can separate those and replant them, but they won't bloom till they mature in a year or two, and that's only if tulips typically return in your climate. Here is more:
https://www.rhs.org.uk/plants/tulip/growing-guide
https://www.rhs.org.uk/garden-inspiration/seasonal/planting-tulips-for-seasonal-colour
https://www.gardeningknowhow.com/ornamental/bulbs/tulips/tulips-care-and-tulip-planting-tips.htm
https://www.gardeningknowhow.com/ornamental/bulbs/bgen/small-shoots-growing-from-bulbs.htm