Find a lab nearby,
https://www.ukas.com/find-an-organisation/browse-by-category/?cat=708Big labs only care about the customers who will send it lots of stuff regularly and spend loads of money, but they have the good kit and low uncertainties.
Small Labs will take on most stuff and are happy to do the one-off customers. But they don't always have the best kit and have ok uncertainties.
17025 labs will tell you that its for the customer to decide what they want, so I would advise you to ask for their best uncertainties as a basic.
I work in a small lab and I suspect I wouldn't be able to do your kit justice but off the top of my head, I would say CMR (
https://www.cmrcalibrate.co.uk/) and Southern Calibration have been good to me in the past. CMR tend to be good on price and tends to turn stuff around quite quickly and if I have had an issue with a cert they have been good and taken the item back and re-done the calibration.
I was hoping for a statement of equipment used, measured value, uncertainty in the measured value.
Why does it matter what kit was used? They could use a very well dialled-in 6.5 digit meter or a very wobbly 8.5 digit meter and still have the same uncertainty. The 17025 schedules for the lab will tell you what they have the ability to do, if they try to put stuff on the cert they can't do then they have to make it very clear it is not covered by 17025 accreditation. The schedule will also state their best measurement uncertainty.