We don't offer to change the name on your account. All our customers have a 30-day rolling contract and so we just ask you to cancel your account online (give us 30 days' notice) and allow the new person who is taking over to sign up for the service, starting on the same day you have said you want the service to end.
This is so that your account, held in your name, only ever has your own details attached to it and never anyone else's.
If you are moving out, don't ever give the new tenant your Wi-Fi password. You are responsible for online activity that takes place using a connection in your name.