After a flat first half, Swansea turned on the style with three goals of real quality.
Laudrup praised each goal in turn, but kept most of the plaudits for the third, a wonderful team move finished by Jonathan De Guzman.
"The third goal is my favourite," Laudrup said.
"It is everything we train for. Day after day, week after week. One and two touches, running off the ball, playing the second line.
"There is a great run and a great finish.
"Between Angel (Rangel), Danny (Graham) and Jonathan (De Guzman), it's great."
Laudrup also praised young full-back Ben Davies after his first senior goal gave the Swans the lead.
"I'm so happy for Ben because he is a young lad that has come in for an injured player. Everything that happens to him this season is a fairytale."
Swansea now sit in eighth place in the Premier League, one point off the top six.