There are many type of Transport in wales. You can take the bus, train, plan, car, bike, etc.

For traveling in wales Easily, you can go in this web site : http://www.traveline-cymru.info/. It's a  very simple web site. You can organise all your journeys in UK.

I have already used this web site for my future traveling.

However you can practice carpool. It's very easy in Wales.