Walk from Lime Street to Liverpool Central (5 mins), get on a Merseyrail train to Sandhills and get the Soccerbus outside the station. £2.50 I think and takes you right outside the ground.
It's actually annoying that City are so good at the moment, because if they were at the level of the other 5 of the "big six", and based upon the performances in the first five games, we'd have a genuine chance of being in contention at the end of the season.