The victory moved Munster up into fourth place, above their Irish rivals Leinster, and New Zealander Laulala believes the future is bright for his new side under Rob Penney.
"All I could think about was getting the ball to the try line - it was a relief for the boys," he told the Irish Examiner.
"I felt for the Blues boys but at the end of the day I'm a Munster player now and it was a good win for us.
"We had a lot of international boys away and a lot of young guys out there but we managed to find a way.
"We knew the Blues would be up for it at the Arms Park but it showed we are going in the right direction."
Cardiff meanwhile can take solace in the fact that going forward they continued to look threatening, but that was scant consolation for Blues flanker Josh Navidi.
He said: "It's just really disappointing, being in the lead with just a couple of minutes left. We had given ourselves a good platform and we had a really good second half.
"It was a good performance but it's just a shame that we didn't get the win. We'll have to have a look back at the video to see where it went wrong."
Guinness PRO12 Munster News
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