I'm trying to help, but what you say is somewhat contradictory Lloyds register has nothing to do with gas work.
Your gas engineer would have to be Gas-Safe registered, not just a Registered Plumber, (that confers no rights to do gas work), and he would have to have a specific qualification in domestic meters, MET-1, this would be listed on his ID card.
However, you talk of moving your meter by a distance of approx 1 metre. It is extremely unlikely that the existing pipework prior to the meter will reach that far. I repeat, your plumber should not alter the pipework prior to the meter, without the specific permission and approval of your meter's owners. It's complicated. Here's what OFGEM say.
"Can the meter be moved by a Gas Safe Registered engineer?
It is possible for a gas meter to be relocated without altering the service pipe and ECV and this may reduce the amount of work required, and the cost. However there are some specific requirements that need to be met:
the Construction (Design & Management) Regulations 2007 may apply,
GSIUR specifies that ….’when a meter is installed or re-located in any premises in either case at a distance of more than 2 metres from, or out of sight of, the nearest upstream emergency control in the premises'... the gas supplier shall ensure that...’a suitably worded notice in permanent form is prominently displayed on or near the meter indicating the position of that control’, and the British Standard BS6400 (specifies the technical requirements necessary to maintain a safe and legal meter installation).
An Ofgem Approved Meter Installer (OAMI) or registered Gas Safe Registered installer should be familiar with this and be able to undertake this work and arrange for it to be inspected by an OAMI. A list of OAMIs can be found here.
However, since the meter installation is most likely to be the property and responsibility of the Meter Asset Manager (MAM) - in most cases this will be your energy supplier - it would be necessary for the OAMI or Gas Safe Registered installer to first contact the MAM, seek agreement for the works to be undertaken, convince the MAM that the work will be properly designed and installed, safe and that the overall long term integrity of their meter installation is not compromised, and finally agree contract terms.
A non-OAMI Gas Safe Registered installer would need to adhere to industry established and legally required reporting requirements regarding disconnecting and reconnecting gas meters, and arrange final inspection by an OAMI.
In practice therefore, it may well be more practical for the MAM to undertake the work themselves, using their own established workforce or appointed OAMI. This methodology may well still result in lower costs than undertaking service pipe/ECV alterations."
If you choose some other route, you are committing an offence punishable by a substantial fine and/or imprisonment.