Divide the things
without the argument.

1. 

   1List the things and the people

   Each person gets a private link.

2. 

   2Everyone bids in private

   What each item is worth to them.

3. 

   3Divided, with the math shown

   Highest value takes it; cash evens it out.

Questions

What is the fairest way to divide personal property among heirs?

The sealed-bids method (Knaster's procedure). Each heir privately values every item; each item goes to the highest valuation; cash settlements bring everyone to their fair share by their own valuations. Every heir ends up with at least what they considered their fair share, which no drawing of lots or taking turns can promise.

What if nobody wants to talk about money?

Use points. Everyone gets the same budget, spends it across the items, and each item goes to whoever put the most on it. No cash changes hands.

Does anyone see what the others bid?

No. Not the other heirs, and not the person who set it up. Once bids close, everyone sees who received what and the cash that evens it out, never the individual valuations.

Can shares be unequal?

Yes. If the will gives one person a larger share, set the percentages when you add the people; the settlement uses them.

What happens to items nobody bid on?

They're listed as unclaimed in the result, for the executor to sell or donate.

Is this legal advice?

No. It's a fair, transparent way to decide who gets what. For anything the will or the law dictates, talk to the estate's lawyer.