Lightcliffe will make their debut in the Gordon Rigg Jack Hampshire Cup with a home first round tie against fellow Division Two side Hunslet Nelson.
Bowling Old Lane, winners in 2018 also have home advantage as they take on the Division Three outfit Gildersome & Farnley Hill.
Crossflatts, who won the Division Three title in their first season, will entertain Liversedge at Ryshworth Park on Sunday, May 8.
Two previous winners, Hartshead Moor (2017) and Yeadon (2019) are among the eight teams to receive byes.
Round One draw
Crossflatts v Liversedge
Adwalton v Sandal
Scholes v Hopton Mills
Rodley v Northowram Fields
Lightcliffe v Hunslet Nelson
Crossbank Methodists v Great Preston
Bowling Old Lane v Gildersome & Farnley Hill
Altofts v Brighouse
Byes: Yeadon, Heckmondwike & Carlinghow, Hartshead Moor, East Leeds, Spen Victoria, Wakefield St Michael’s, Buttershaw St Paul’s, Windhill & Daisy Hill.
Ties to be played Sunday, May 8