Also write to your electricity supplier and ask if you can be provided with a Company earth. With luck they will be able to provide you with PME for £50-£100 which will be money well spent. They might even do it free. Mention the old service head, say if it is cast iron and describe any signs of damage, pitch leakage or deterioration as they may wish to replace it with new.
You will have to provide in advance a 16mm G&Y earth wire long enough to reach the service head, I would suggest you get an 8-way earth block as well, then you can connect your main bonds (gas, water, oil services) as well as your CU.
Although it is possible to work out who owns the distribution network in your area, you don't have to. just write to the address on your electricity bill, and that company has the responsibility to know who will actually do the work.
In my experience letters are much less likely to be be fobbed off or forgotten than phone calls. Make the letter short but give the ref no's off your bill (show the Meterpoint if you can see it as well as your customer/account no.)
You will probably find that any existing earthing and bonding cables are undersized or missing, but it is fairly easy to replace then yourself and you are not obliged to engage an electrician to do it. Come back if you need to know how.