Gavin Smith gave the home side the lead heading in from a 23rd minute corner. Ryan Damms doubled the advantage from the penalty spot just past the hour.
Andy Fox put the tie beyond Pickering with the third on 78 minutes. An excellent performance was rounded off with a fourth goal five minutes from time. Under 19’s striker Adam Houghton chasing down a long ball before coolly rounding the keeper.
Hallam ended a run of three successive defeats by bouncing back to form with a comfortable 4-0 victory at Appleby Frodingham in the Wilkinson Sword Trophy.
Craig Getliff gave the Blues a fourth minute lead and despite having Ben Kistell sent-off four minutes later the visitors sealed the tie with three-goals inside the last 10 minutes through Phil Reynolds and a Danny Wiltshire brace.
Julian Watts side now face Teversal in second round at Sandygate Road.