....that BHAFC pay some of your travelling costs.
If travelling by train, with a valid match ticket, from Southampton you only need to purchase a ticket to Worthing Central. The rest of the return fare to Falmer via Brighton is paid for. Similarly if from London via Brighton or Lewes the fare has only to be bought to Haywards Heath. From the East the fare is paid for from Eastbourne. I would suggest you check Southern Rail website regarding engineering works etc. before you leave home.
Changing at Brighton station there are loads of pubs, cafes etc. around the station and North Laine (accessed via road that runs under the station taxi forecourt).
However, if you are driving, again remember, that parking around the stadium is non existent, but you may be lucky in finding some parking nearby for £15/car.
The best bet is the Albion Park and Ride schemes, where the parking and bus ride are free, with a valid match ticket. From Southampton the easiest to find is Mill Road which if you travel along the A27 to the A23 junction, the car park is situated on London Road/Mill Road adjacent to the BP garage. This also applies to those travelling down from London.
The other sites are Brighton University in Lewes Road and the Race Course at top of Elm Grove.
Full information about all this plus much more about Brighton and Hove can be found at (mods permission) http://www.footballcities.co.uk You can also check out the Southampton page and other cities.