For anyone who is in the UK (like myself), Manchester runs different types of taster sessions, skills sessions and training nights. I don't know if Newport (Wales) run these type of sessions...
http://www.nationalcyclingcentre.com...ide-the-track/ - Different types of taster session.
http://www.nationalcyclingcentre.com/track/timetable/ - Time table, tasters are held everyday.

Bikes and helmets provided, but if you're a rider with your own kit I believe you can take your own pedals/shoes/helmet.
For anyone interested, they hold MTB and BMX sessions too.