It probably depends on the city, in my house the meters (electricity and water) are read every 2 months, they print the bill and you can pay at once (or later if you don't have cash at that moment). We don't have gas (because not every Polish city has gas pipes).
When I lived in Poznań (in a block of flats, from late communist era) the electricity and gas meters were outside - exact bill every 2 months after reading, water and heat (on central heating radiators) inside - approximate paying (based on the previous year consumption) every month, meters read once or twice a year and then you paid extra or got a refund.
Can you ask them to read it if you are moving apartment.
You can then take the day off work and go down to the electricity/gas company and get the meters signed over to you.
This is important, if you let (or even sell) a flat/house to someone, you better go the electricity company to change/discontinue the contract with them. If the tenant/new owner is not paying the bills, you'll be the person from whom the electricity company will require to settle those bills.