With Anfield working extensively with Liverpool's public transport operators, the stadium is well catered for in regards to public transport, while there is the Centenary Stand Car Park, on matchdays you'll find that the car park is reserved to fans with pre-booked parking passes, meaning that the best option is to take either the bus or taxi, usually from the city centre. As always, we recommend you arrive to Anfield early in order to maximise your time at this glorious stadium.
Fast, frequent and by far the most convenient, Liverpool's numerous buses to and from Anfield's doorstep are your best bet in regards to both value and ease, with the bus journey to the stadium usually taking around 20-25 minutes. While the dedicated 917 bus service from the city centre (St Johns Lane) is the most convenient, however there's also the services 17a, 17b, 17c (all from Queen Square Bus Station), and the 26 and 27 (from Liverpool ONE Bus Station). All of these bus services will roughly set you back around £1 per journey. There is also the aptly-named "Soccerbus", a convenient shuttle bus, that runs between Sandhills Station and Anfield costing about £1.80 for a return.
Liverpool's main station is Lime Street station, featuring a number of nation-wide connections, of course the station itself is still quite a walk from the stadium, and so it's better to hop on a train to one of the following stations. The closest station to Anfield is actually Kirkdale Station (on the Northern Line towards Ormskirk or Southport), though fans will need to walk at least half an hour before they get to the stadium. As such, visitors preferring the train may find it easier to take the train to Sandhills Station also on the Northern Line, as there's the aforementioned Soccerbus (which can even be obtained at the same time you buy your rail ticket to Sandhills).
In comparison to the relatively expensive taxis down south, taxis are a more or less reasonable affairs in Liverpool, with the average journey from the city centre costing about £10 to £13. This is by far the fastest method, but keep in mind time really varies significantly depending on traffic (with matchdays especially proving to be heavily congested).
While Anfield does discourage driving to the stadium, there is still the possibility to use the parking facilities of rival team Everton's stadium Goodison Park, which is actually only a 15 minutes walk from Anfield. While it's certainly a touch-more stressful, driving there early enough will see you beat the matchday rush-hour(s).
Below you'll find the relevant satnav address:
Liverpool Football Club, Anfield Road, Liverpool, L4 0TH.