one thing i would advise is dont just take the meter readings, also ring the suppler and change the bill to your name, you wont believe how many people i go to who end up paying someone elses debt because they didnt change the name
Not quite true, but near enough.
You cannot simply "change the names" on the account.
You must open a new account in your name with new opening meter readings.
These should tally with the closing meter readings of the previous tennant, when they close their account.