Each of the "scales" could grow into a large lily, but it will take time
I would replant the big bulbs whole, taking off a few scales if you are looking to increase the stock, albeit slowly. And plant the smaller bulbs in a seperate pot, with any loose scales in a more shallow pot.
Years ago I bought expensive Regale album bulbs which flowered with poor little stems with only one or two pips each. Now they are big and lots of pips. Don't forget if you ever cut a flower head it will seriously weaken the plant as all the "leaves" they have are on the stems, so if you reduce the stems you stop them from feeding themselves
A bit of seaweed meal included in the potting mix or scattered on the top helps them feed themselves, and improves colour and scent.