
Originally Posted by
Carneucopia
I would let the DWP know just before your move - otherwise as Stephen says there shouldn't be any problem with your ESA and any other DWP benefits. They will continue as normal.
What you need to watch out for is the Housing/Council Tax benefit situation. First check that the new property won't be classed as too big for your needs and therefore subject to any Housing Benefit restrictions.
You might be able to claim a social fund grant to help with your move - check that out in advance with the DWP. You also might be allowed a period of overlapping Housing Benefit - ask your Council about that.
You will need to make new claims for Housing and Council Tax Benefits. If staying in the same Local Authority area that should go smoothly, but don't assume anything and don't delay claiming.