Hamworthy United and Christchurch face trips to Newport (IoW) and Alresford Town respectively.
Bashley are at home to Sholing in the FA Trophy preliminary round and Wimborne Town welcome Godalming Town, while Poole Town face Yate Town or North Leigh in first round qualifying.
In FA Vase first round qualifying, the Dorset Premier League’s only representatives, Swanage Town & Herston, welcome Downton.
Hamworthy United are at home to Winterbourne.
Second round qualifying will see Christchurch take on Calne Town, while New Milton Town visit Sherborne.
Elsewhere, Ringwood Town journey to Team Solent or Cadbury Heath, Poppies travel to Pewsey Vale or Melksham Town and Verwood are at home to Roman Glass St George or Devizes Town.
Meanwhile, New Milton have been given a home draw against Totton & Eling in the first round of the Hampshire Senior Cup.
Ringwood and Poppies are away to Folland Sports and Petersfield Town respectively.
Bashley have been handed a second-round home draw against Team Solent while Christchurch entertain East Cowes Victoria or Moneyfields.
Cherries are away to either Fleet Spurs or Fareham Town.