Catching the fluffle

Pogie, Daisy's fluffle, hops about on the first floor. Dylan would like to look after him, but nobody can catch him.
Nudge 1Where to look
You don't chase a fluffle. You let it come to you, with something to put it in.
Nudge 2A stronger push
Look in Daisy's hut.
What you needOther problems to solve first
Solve these first (each opens its own page, no answers on the way):
Show the solutionThe whole answer, with a video
Take the small animal cage from Daisy's hut. Stand on the high walkway Pogie hops along (the first floor, right of the stairs) with the cage in hand, and wait: when Pogie hops into Dizzy, press B. He's in the cage, and the status screen now says "A cage containing Pogie the fluffle".
Why it works
Pogie's routine only checks the cage when he touches Dizzy and B is pressed. Chasing him only makes him jump away.