When you say that you "want your meter moved", then I suspect that you may well mean that you also want the 'service head' (where the supply enters you property, and which contains the 'service fuse') to be moved.Dont want to get into smartmeter arguments - I just wondered if anyone knew if asking for a move would get me a take-it-or-leave-it imposition of one.
If so, it's not your supplier who would have to move that 'service head' but (possibly at an appreciable cost) the 'Network Distribution Operator' ("DNO") - and since they have nothing to do with providing meters (that is the supplier's territory), it's possible that they would reconnect your existing meter to the moved service head. On the other hand, they might just move the head and then ask the supplier to come and reconnect the (or "a"!) meter. You would need to ask them (the DNO).
Kind Regards, John