Depends how how small the downsize. If you will have guest rooms, you can have a few in each room, one in the guest bath. In other words spread them around the house. If you will have storage, you can rotate them with the seasons.

In general, when you are downsizing, you have to take a hard look at your collections. Maybe have a professional picture taken and framed of them instead of bringing them with you. Another idea is to give them to your heirs now instead of after you die. If you love them and keep all of them, you will find a way.

It would all depend on what the new home has for rooms. IMO opinion it is probably time to start gifting the collection.

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I would say if you intend to keep them all then the cabinet is the most efficient way to display them. If you swap them seasonally you need storage for those not on display and a table top where those on display will be. That doesn't sound like a downsize to me. Do you have reason to think your heirs would like one of your music boxes? These things usually go the other way. I will say once you die--your heirs will most likely find they are touched to have one to remember you by. A memento of a loved one seems to mean more after they are gone.

I think we need more background info.

Can we see them ? Do you want to be able to have them work ? How about storing them in a closet and displaying a few at a time maybe . I often find large collections are a bit too much of a good thing but a few at a time are precious.

I downsized when I moved from a 5 bed house to a NYC apartment. I get it. Force yourself to keep five to seven that you absolutely adore and donate or gift the rest. It really is incredibly freeing to concentrate a collection down to just a select few items.