You have much better security if things go wrong with a credit card. You can chase them up, I don't think the same thing applies with Laser (Ireland only) and Cirrus. For peace of mind I would use plastic!
Q. Can I use Laser for online shopping?
A. A limited number of merchants offer Laser as a payment method for purchasing over the Internet. Simply, search the site to determine if Laser is offered as a payment option.