Would I be wasting my time.

Hi Everyone,
I layered lots of tulips in pots last autumn and enjoyed a great show earlier this spring. After flowering I put the pots in a secluded corner and allowed the foliage to die back in it's own time. As we approach autumn I thought I would dig out the bulbs and let them dry and be ready for planting out into the garden come October. I didn't feel they could be kept a second year in the pots as the compost would probably be near exhausted.
I found that every bulb had produced bulblets some small as peas, some medium the size of crocus bulbs and many others almost half the size of a mature tulip bulb. My query is do I keep these young immature bulbs? As a gardener I don,t like to throw a living bulb or plant away, but I'm not a person who is happy to wait a few years for a plant to mature. What I mean is I would never for example sow pansy seeds - rather I would always buy the plant. I expect in time these bulblets would mature but when. By next year, in two years or when? And should they be planted along with the mature bulbs or planted in a 'nursery' somewhere obscure. I really dont want years of just foliage. Anyone's advice would be greatly appreciated.