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Usually distribution board installation includes proper testing of all the circuits and provision of paperwork. The first EICR is often the most expensive as it's considered good practice to remove and check all sockets and switches. After that it's normal to carry out a smaller inspection to check deterioration.
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I can’t remember the exact process for replacing a board but keeping existing wiring. You’d need to do a full series of testing on all the circuits when the new board is installed anyway. People recommend getting an EICR beforehand to help with an idea of the condition of the installation, but my main concern is how variable EICRs can be - the way many of them are carried out, I’d be amazed if they find any faults at all (other than the absolutely glaringly obvious), and any faults should be found during the initial verification when installing the new board anyway.
I guess the EICR prevents the situation where you have a spark come to do the board change and they point out it’s not possible because of whatever reason, but that’s reliant on the person doing the EICR actually doing meaningful investigation and some testing and finding a fault.
As @Airhead pointed out, all the sockets should be inspected, but regularly aren’t on cheap EICRs. Personally I reckon it’d be a good time to swap old sockets for new - but how necessary that is depends on the current install.
You pay for what you get. Anything from £70 all in to £150 + £20 per circuit.
What is your intention for it?