Getting to and from the ground
The ground is around a 35 minute walk from the station, and a bit longer from elsewhere in the city centre. Catching a bus is therefore an attractive option. Shuttle buses run from Sovereign Street, a 6-7 minute walk from the station. You apparently buy your ticket from the bus at the front. It's 3 quid single, or 5 quid return. It's unlikely you'll want to catch a bus back after the game because the queues are horrendous. The buses start 90 minutes before kick-off. If you want to get to the ground any earlier than this then you'll have to catch a 51 or 52 from Vicar Lane (Corn Exchange). A five minute train ride to Cottingley station, a 20 walk from the ground, is an option. There are trains from Leeds at 1647, 1717, 1748 and 1847. Alternatively jump in a cab.(if you can find one!)

If you're driving to the game then there are a few official car parks around the ground. My suggestion though is to park in the streets in the Domestic Street area. Not only is it free, you'll be back on the M621 in no time after the game.

The various bus stops and parking options are marked on the pub map at the bottom.
 
Pubs
The options around the ground are limited. The Peacock, right opposite the ground was never a good idea, but apparently it's now strictly home fans only anyway. Next to the away turnstiles is Howards, which is away fans only. It's only small though, and doesn't open until an hour and a half before kick-off. There's also a dedicated fan zone outside the away section, which opens two hours before kick-off. If you want to be there for it opening from the city centre then it's the 51/52 bus. If you fancy some hand-pulled and can be discreet then there's the Old White Hart. This is basically a Leeds pub, but apparently away fans are tolerated. Not far away from here is the Whistlestop.

If you prefer to drink in the centre then I would suggest it's a case of the further from the station the better. There are a few Wetherspoon outlets that are far enough from it to probably be ok. Likewise, there's a clutch of good real ale pubs (Lamb and Flag, Duck and Drake, and Crowd of Favours) where you won't see many Leeds fans on or just off Kirkgate.

Most of the pubs mentioned are shown on the pub map (below).

Pub map
Football ground guide
Away fan guide
Shuttle bus details