AS
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Moving into your son's house should not have any effect on your ESA even though it is ESA(IR), he and his family will not be classed as part of your household, he should make sure that there is no impact on his finances.
Make sure you write to the DWP to the DWP with details of the change when it happens and keep a copy of the letter.
As far as I can see this should be no different under Universal Credit, however, any transfer will be some time away.
Gordon
