There are three stations in Burnley, but Manchester Road is the one you're interested if you're travelling from Leeds or Bradford. It's just under a mile from the ground.

If driving over then there's quite a lot of street parking available - see the Pub map for a couple of suggested areas. There are also some car parks if you really want to stump up a few quid and potentially get stuck for ages waiting to get out.

You basically need to keep clear of most of the pubs around the ground and in the town centre. However, that still leaves plenty of options. The most obvious is the cricket club next to the ground, which lets away fans in and is cheap and friendly. Also close to the ground is the KSC 100 Club which allows away fans in for a fee. My recommendation though would be the Bier Huis, which is around an 8 to 10 minute walk from the ground. It gets great reviews for its beer selection and is away fan friendly. It will get busy though. You may therefore prefer to try the Ministry of Ale, which is just over the road from Manchester Road station. The pub also has a great range of beers, including those from its own micro brewery. Another option, particularly if you want to take advantage of the street parking available nearby, is the Woodman. This has a decent range of very reasonably priced beers. It goes without saying that there are a couple of Wetherspoons outlets in the town. I've no idea though whether or not they're an option for away fans.

All the pubs mentioned above, plus a few others, are marked on the pub map.

For more info on getting there, pubs, etc check out:
Pub map
Football Ground Guide
Ciderspace (Yeovil Town fan site) excellent guide to Turf Moor