bulb care

Dear all
I am a newbie for gardening, Today I noticed the Hyacinthsâ?? leaves are getting rotten, so I dig up all the 6 of them and one of them is totally dead. I am new to bulb, what should I do after I dig them up. And did I do the right thing to clean them as the photo showed?

And I dig up some of my crocus after the leaves die off. But I found out most of them are very small bulblets. Should I plant the small one now or just wait until the fall?
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Thanks a lot for helping.

 

I have Hyacinths and Crocuses in the garden (some in pots) and I just leave them in the ground. The leaves do die down (this feeds the bulb I think) and next year they just grow back with fresh leaves. I'm not an expert but that's what I've been told!