We had to move ours as they were updating to the new style meters and they preferred it nearer the house.
However, we have a very good neighbour who works at the local 'Tok' company and two of them came round and installed a new meter one Sunday.
No charge for the new meter, no charge for the labour. However, a fair few beers and a bite to eat did take place before I asked them the price!
If in doubt, ask for a meeting with the Mayor. Take your dictionary and ask why (защо - zashto?) you need to move it and how much it will cost (колко пари - kolko pari?).