Hey, Cad,
My husband and I are moving to the Chester area too! He's from there, so let me see how I might help.
The landlord may or may not have separate utilities set up. Just ask. Gareth says it may have changed but gas and electric would be separate. Council tax...he says, "who knows?" Contact the council authority directly. I'd love to hear some other answers, since I doubt I've actually been of any assistance!
Glad to finally see someone going to our neck of the woods!
Beth