http://www.ebay.com.au/itm/390466269609 (http://www.ebay.com.au/itm/390466269609)
is the type of transformer you will need, the first transformer you linked isn't suitable for this current application because it doesn't provide 2 AC outputs and because they could be very "dirty", the second transformer isn't suitable, because even though it is a 12.6V transformer, each half will only provide 6.3V AC, much lower than what is required. This transformer provides what you need.
Basically,
240vac active -> fuse-> (transformer)| -> 12vac -> AC1 in on AC->DC board
|-> 0v -> 0v on AC -> DC board
neutral<- | -> 12vac -> AC2 in on AC ->DC board
Earth-----------O connected to metal transformer case + enclosure chassis.
You can get a 240v ac to +/- 15v dc but since you have already got the rectifier board and the transformer is only $14 may as well do this.[/code]