Aberystwyth Station is the closest, with routes running to most major UK stations. You can grab a taxi from there, around 30 minutes.
Easily accessible from across the UK. From the Midlands (via the A5), the South (via the M5, then A5) or from the North, following signs to Chester then Wrexham. Once in Wales head to Aberystwyth, it’s a short drive from there.