The leading Premiership side will play host to Senior League Section 1 club Woiodvale in the first round.
However, Donacloney Mill and Lurgan face the prospect of opposition from the Premier League above them.
If Lurgan win a preliminary home game against Cregagh they will entertain Instonians and Donacloney Mill will have a daunting trip to North Down in the first round.
Meanwhile, holders Lurgan and Donacloney Mill will meet in the first round of the Arthur J Gallagher Women’s Challenge Cup.
Waringstown’s first round opponents will be the winners of the preliminary tie between Laurelvale and Clogher.
Preliminary round: Lurgan v Cregagh; Bangor v Laurelvale
First round: Bangor or Laurelvale v Downpatrick; CIYMS v Armagh; Holywood v Muckamore; Derriaghy v Lisburn; Lurgan or Cregagh v Instonians; Waringstown v Woodvale; CSNI v Carrick; North Down v Donacloney.
The draw for the Arthur J. Gallagher Women’s Challenge Cup
Preliminary round: Carrick v Instonians; Laurelvale v Clogher
First round: Lurgan v Donacloney Mill; Carrick or Instonians v CSNI; Waringstown v Laurelvale or Clogher; Muckamore v North Down