Hull old boy Jake Connor landed only two, before Tui Lolohea was more successful with three when he took over kicking duties.
The Giants led 20-6 at the break after a brace of tries from Halsall and Swift before Lane responded for Hull, only for the hosts to score twice more though Naiqama and Murchie – after Ligi Sao’s yellow card for a swinging arm.
When Huddersfield then stepped it up after the break, the visitors capitulated.
Having reached the career landmark of 150 tries (86 of them in Super League for St Helens and 36 for Hull) with his first try for Huddersfield, Swift led the way with his second-half hat-trick.
The result leaves the vastly experienced Smith with a lot on his plate going into the Good Friday Super League derby date with another of his former clubs, Hull KR, in six days’ time.
Huddersfield: Connor; Swift, Marsters, Naiqama, Halsall; Lolohea, Clune; English, Milner, Wilson, Murchie, Livett, Cudjoe.
Interchanges: Golding, Greenwood, Rushton, Ikahihifo.
Hull: Hoy; Martin, McIntosh, Sutcliffe, Tindall; Charles, Smith; Ese’ese, F Brown, Sao, Scott, Staveley, Lane.
Interchanges: J Brown, Gardiner, Houghton, Okunbor.
Referee: Aaron Moore.