Five goals before the break saw the Bulls lead 3-2, with Justin Donawa, Cormac Daly and Keziah Martin net for the hosts, with Finley Shrimpton and a Connor Woods penalty for the visitors.
Into the second half and Chester put more pressure on the Bulls which was handled well, before Daly bagged a brace and Munday added a fifth.
Full report, reaction and pictures to follow, as well as results and league table which shows the Bulls edging closer to safety.
Full time: Hereford 5 - Chester 2
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