Not sure if this has already been posted or requested. If so I apologise in advance
When you are moving House, be it Kin or own, ALL chest contents get placed in Escrow in there relevant chest slot.
What I would like to see is an option to "Transfer Chest"
The majority of people I know who have alts, have, over the years, collected the lvl 45 class items for their alts
These Items are Uniques and therefore can only have 1 in your inventory at a time. Having a lot of these items means multiple runs to the escrow to empty and transfer.
If you have bought the chests at your new house, I dont see a problem with just moving the whole chest from escrow to your new house